Search a number
-
+
122212220 = 225134773137
BaseRepresentation
bin1110100100011…
…00111101111100
322111222000122112
413102030331330
5222241242340
620043233152
73012533564
oct722147574
9274860575
10122212220
1162a92939
1234b187b8
131c41cb30
1412333da4
15aae1065
hex748cf7c

122212220 has 96 divisors (see below), whose sum is σ = 288223488. Its totient is φ = 43241472.

The previous prime is 122212213. The next prime is 122212247. The reversal of 122212220 is 22212221.

It is a junction number, because it is equal to n+sod(n) for n = 122212195 and 122212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891992 + ... + 892128.

It is an arithmetic number, because the mean of its divisors is an integer number (3002328).

Almost surely, 2122212220 is an apocalyptic number.

122212220 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 122212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144111744).

122212220 is an abundant number, since it is smaller than the sum of its proper divisors (166011268).

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

122212220 is a wasteful number, since it uses less digits than its factorization.

122212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 122212220 is about 11054.9635910753. The cubic root of 122212220 is about 496.2549796783.

Adding to 122212220 its reverse (22212221), we get a palindrome (144424441).

Subtracting from 122212220 its reverse (22212221), we obtain a palindrome (99999999).

It can be divided in two parts, 12221 and 2220, that added together give a palindrome (14441).

The spelling of 122212220 in words is "one hundred twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 73 94 130 137 146 188 235 260 274 292 365 470 548 611 685 730 940 949 1222 1370 1460 1781 1898 2444 2740 3055 3431 3562 3796 4745 6110 6439 6862 7124 8905 9490 10001 12220 12878 13724 17155 17810 18980 20002 25756 32195 34310 35620 40004 44603 50005 64390 68620 83707 89206 100010 128780 130013 167414 178412 200020 223015 260026 334828 418535 446030 470047 520052 650065 837070 892060 940094 1300130 1674140 1880188 2350235 2600260 4700470 6110611 9400940 12221222 24442444 30553055 61106110 122212220