Search a number
-
+
120222023220 = 2232513509100937
BaseRepresentation
bin110111111110111001…
…0100111111000110100
3102111022110221120002200
41233331302213320310
53432203314220340
6131121303104500
711454133223265
oct1577562477064
9374273846080
10120222023220
1146a9321a492
121b372142130
13b44c1b2960
145b66a1c96c
1531d9710330
hex1bfdca7e34

120222023220 has 144 divisors (see below), whose sum is σ = 393500736720. Its totient is φ = 29534681088.

The previous prime is 120222023219. The next prime is 120222023221. The reversal of 120222023220 is 22320222021.

120222023220 is a `hidden beast` number, since 1 + 202 + 220 + 23 + 220 = 666.

120222023220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120222023219) and next prime (120222023221).

It can be written as a sum of positive squares in 8 ways, for example, as 12041550756 + 108180472464 = 109734^2 + 328908^2 .

It is a super-2 number, since 2×1202220232202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120222023193 and 120222023202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120222023221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140592 + ... + 1241528.

It is an arithmetic number, because the mean of its divisors is an integer number (2732644005).

Almost surely, 2120222023220 is an apocalyptic number.

120222023220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120222023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196750368360).

120222023220 is an abundant number, since it is smaller than the sum of its proper divisors (273278713500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120222023220 is a wasteful number, since it uses less digits than its factorization.

120222023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101474 (or 101469 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 120222023220 its reverse (22320222021), we get a palindrome (142542245241).

The spelling of 120222023220 in words is "one hundred twenty billion, two hundred twenty-two million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 509 585 780 1018 1170 1527 2036 2340 2545 3054 4581 5090 6108 6617 7635 9162 10180 13234 15270 18324 19851 22905 26468 30540 33085 39702 45810 59553 66170 79404 91620 99255 100937 119106 132340 198510 201874 238212 297765 302811 397020 403748 504685 595530 605622 908433 1009370 1191060 1211244 1312181 1514055 1816866 2018740 2624362 3028110 3633732 3936543 4542165 5248724 6056220 6560905 7873086 9084330 11809629 13121810 15746172 18168660 19682715 23619258 26243620 39365430 47238516 51376933 59048145 78730860 102753866 118096290 154130799 205507732 236192580 256884665 308261598 462392397 513769330 616523196 667900129 770653995 924784794 1027538660 1335800258 1541307990 1849569588 2003700387 2311961985 2671600516 3082615980 3339500645 4007400774 4623923970 6011101161 6679001290 8014801548 9247847940 10018501935 12022202322 13358002580 20037003870 24044404644 30055505805 40074007740 60111011610 120222023220