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232120200004 = 227111765967271
BaseRepresentation
bin1101100000101101110…
…0010010101101000100
3211012010212002220111121
43120023130102231010
512300340232400004
6254345021243324
722525104100660
oct3301334225504
9735125086447
10232120200004
118a49488a940
1238ba0703544
1318b72a25594
14b33dd538a0
1560882a5854
hex360b712b44

232120200004 has 96 divisors (see below), whose sum is σ = 537056593920. Its totient is φ = 84986227200.

The previous prime is 232120199981. The next prime is 232120200023. The reversal of 232120200004 is 400002021232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3416889 + ... + 3484159.

It is an arithmetic number, because the mean of its divisors is an integer number (5594339520).

Almost surely, 2232120200004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232120200004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268528296960).

232120200004 is an abundant number, since it is smaller than the sum of its proper divisors (304936393916).

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

232120200004 is a wasteful number, since it uses less digits than its factorization.

232120200004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67969 (or 67967 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 232120200004 its reverse (400002021232), we get a palindrome (632122221236).

The spelling of 232120200004 in words is "two hundred thirty-two billion, one hundred twenty million, two hundred thousand, four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 659 748 1309 1318 2618 2636 4613 5236 7249 9226 11203 14498 18452 22406 28996 44812 50743 67271 78421 101486 123233 134542 156842 202972 246466 269084 313684 470897 492932 739981 862631 941794 1143607 1479962 1725262 1883588 2287214 2959924 3450524 4574428 5179867 8005249 10359734 12579677 16010498 20719468 25159354 32020996 44331589 50318708 88057739 88663178 176115478 177326356 310321123 352230956 487647479 620642246 753637013 975294958 1241284492 1507274026 1950589916 3014548052 3413532353 5275459091 6827064706 8290007143 10550918182 13654129412 16580014286 21101836364 33160028572 58030050001 116060100002 232120200004