Search a number
-
+
220030244120 = 23541532719341
BaseRepresentation
bin1100110011101011010…
…0110001010100011000
3210000221021201111212202
43030322310301110120
512101110220302440
6245025215425332
721616361134121
oct3147264612430
9700837644782
10220030244120
1185350378065
1236787825248
1317997055c2b
14a9143db048
155acbbb6615
hex333ad31518

220030244120 has 128 divisors (see below), whose sum is σ = 518673818880. Its totient is φ = 83925504000.

The previous prime is 220030244101. The next prime is 220030244123. The reversal of 220030244120 is 21442030022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220030244092 and 220030244101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220030244123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23550650 + ... + 23559990.

It is an arithmetic number, because the mean of its divisors is an integer number (4052139210).

Almost surely, 2220030244120 is an apocalyptic number.

220030244120 is a gapful number since it is divisible by the number (20) 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 220030244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259336909440).

220030244120 is an abundant number, since it is smaller than the sum of its proper divisors (298643574760).

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

220030244120 is a wasteful number, since it uses less digits than its factorization.

220030244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9717 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 220030244120 its reverse (21442030022), we get a palindrome (241472274142).

It can be divided in two parts, 2200302 and 44120, that added together give a palindrome (2244422).

The spelling of 220030244120 in words is "two hundred twenty billion, thirty million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 53 82 106 164 205 212 265 271 328 410 424 530 542 820 1060 1084 1355 1640 2120 2168 2173 2710 4346 5420 8692 9341 10840 10865 11111 14363 17384 18682 21730 22222 28726 37364 43460 44444 46705 55555 57452 71815 74728 86920 88888 93410 111110 114904 143630 186820 222220 287260 373640 382981 444440 495073 574520 588883 765962 990146 1177766 1531924 1914905 1980292 2355532 2475365 2531411 2944415 3063848 3829810 3960584 4711064 4950730 5062822 5888830 7659620 9901460 10125644 11777660 12657055 15319240 19802920 20251288 20297993 23555320 25314110 40595986 50628220 81191972 101256440 101489965 103787851 134164783 162383944 202979930 207575702 268329566 405959860 415151404 518939255 536659132 670823915 811919720 830302808 1037878510 1073318264 1341647830 2075757020 2683295660 4151514040 5366591320 5500756103 11001512206 22003024412 27503780515 44006048824 55007561030 110015122060 220030244120