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230231454152 = 23723435098167
BaseRepresentation
bin1101011001101011011…
…1010011000111001000
3211000021020002200021112
43112122313103013020
512233003223013102
6253433351025452
722430231033210
oct3263267230710
9730236080245
10230231454152
1189705721157
123875406b288
131893163239b
14b201179240
155ec756c252
hex359add31c8

230231454152 has 128 divisors (see below), whose sum is σ = 527874969600. Its totient is φ = 91993321728.

The previous prime is 230231454151. The next prime is 230231454163. The reversal of 230231454152 is 251454132032.

It is not an unprimeable number, because it can be changed into a prime (230231454151) 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, 28186373 + ... + 28194539.

It is an arithmetic number, because the mean of its divisors is an integer number (4124023200).

Almost surely, 2230231454152 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 230231454152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263937484800).

230231454152 is an abundant number, since it is smaller than the sum of its proper divisors (297643515448).

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

230231454152 is a wasteful number, since it uses less digits than its factorization.

230231454152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8755 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 230231454152 its reverse (251454132032), we get a palindrome (481685586184).

The spelling of 230231454152 in words is "two hundred thirty billion, two hundred thirty-one million, four hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 23 28 43 46 56 86 92 161 172 184 301 322 344 509 602 644 989 1018 1204 1288 1978 2036 2408 3563 3956 4072 6923 7126 7912 8167 11707 13846 14252 16334 21887 23414 27692 28504 32668 43774 46828 55384 57169 65336 81949 87548 93656 114338 153209 163898 175096 187841 228676 306418 327796 351181 375682 457352 503401 612836 655592 702362 751364 1006802 1225672 1314887 1404724 1502728 2013604 2458267 2629774 2809448 3523807 4027208 4157003 4916534 5259548 7047614 8077163 8314006 9833068 10519096 14095228 16154326 16628012 19666136 28190456 29099021 32308652 33256024 56540141 58198042 64617304 95611069 113080282 116396084 178751129 191222138 226160564 232792168 357502258 382444276 452321128 669277483 715004516 764888552 1251257903 1338554966 1430009032 2502515806 2677109932 4111275967 5005031612 5354219864 8222551934 10010063224 16445103868 28778931769 32890207736 57557863538 115115727076 230231454152