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230265562032 = 243211145369673
BaseRepresentation
bin1101011001110011100…
…1011010001110110000
3211000100121021112111100
43112130321122032300
512233040440441112
6253441010044400
722431123661122
oct3263471321660
9730317245440
10230265562032
11897229a7990
1238763579700
131893871506c
14b2058d7212
155eca5582dc
hex359ce5a3b0

230265562032 has 60 divisors (see below), whose sum is σ = 703007743464. Its totient is φ = 69777442560.

The previous prime is 230265561989. The next prime is 230265562049.

230265562032 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 65 + 562 + 0 + 32 = 666.

230265562032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72683253 + ... + 72686420.

Almost surely, 2230265562032 is an apocalyptic number.

230265562032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230265562032 is an abundant number, since it is smaller than the sum of its proper divisors (472742181432).

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

230265562032 is a wasteful number, since it uses less digits than its factorization.

230265562032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145369698 (or 145369689 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 230265 and 562032, that added together give a palindrome (792297).

The spelling of 230265562032 in words is "two hundred thirty billion, two hundred sixty-five million, five hundred sixty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 145369673 290739346 436109019 581478692 872218038 1162957384 1308327057 1599066403 1744436076 2325914768 2616654114 3198132806 3488872152 4797199209 5233308228 6396265612 6977744304 9594398418 10466616456 12792531224 14391597627 19188796836 20933232912 25585062448 28783195254 38377593672 57566390508 76755187344 115132781016 230265562032