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232404340002220 = 2253131110193118247
BaseRepresentation
bin110100110101111011011010…
…001000010100110110101100
31010110212122020001012222211101
4310311323122020110312230
5220430203042020032340
62142141025131132444
766644442124563601
oct6465733210246654
91113778201188741
10232404340002220
1168062144187481
12220956272a4124
139c8a834787879
1441566041a06a8
151bd0584775c9a
hexd35eda214dac

232404340002220 has 96 divisors (see below), whose sum is σ = 505466404724736. Its totient is φ = 89664144460800.

The previous prime is 232404340002209. The next prime is 232404340002221. The reversal of 232404340002220 is 22200043404232.

It is a happy number.

It is a super-3 number, since 3×2324043400022203 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (232404340002221) 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, 1965355137 + ... + 1965473383.

It is an arithmetic number, because the mean of its divisors is an integer number (5265275049216).

Almost surely, 2232404340002220 is an apocalyptic number.

232404340002220 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 232404340002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252733202362368).

232404340002220 is an abundant number, since it is smaller than the sum of its proper divisors (273062064722516).

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

232404340002220 is a wasteful number, since it uses less digits than its factorization.

232404340002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128791 (or 128789 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 232404340002220 its reverse (22200043404232), we get a palindrome (254604383406452).

The spelling of 232404340002220 in words is "two hundred thirty-two trillion, four hundred four billion, three hundred forty million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 311 620 622 1244 1555 3110 6220 9641 10193 19282 20386 38564 40772 48205 50965 96410 101930 118247 192820 203860 236494 315983 472988 591235 631966 1182470 1263932 1579915 2364940 3159830 3170023 3665657 6319660 6340046 7331314 12680092 14662628 15850115 18328285 31700230 36656570 36774817 63400460 73313140 73549634 98270713 147099268 183874085 196541426 367748170 393082852 491353565 735496340 982707130 1140019327 1205291671 1965414260 2280038654 2410583342 4560077308 4821166684 5700096635 6026458355 11400193270 12052916710 22800386540 24105833420 37364041801 74728083602 149456167204 186820209005 373640418010 374845709681 747280836020 749691419362 1499382838724 1874228548405 3748457096810 7496914193620 11620217000111 23240434000222 46480868000444 58101085000555 116202170001110 232404340002220