Search a number
-
+
230437653624 = 2334355613663
BaseRepresentation
bin1101011010011100100…
…1111000110001111000
3211000210121002200210000
43112213021320301320
512233414014403444
6253510034353000
722435313510643
oct3264711706170
9730717080700
10230437653624
1189801058942
12387b112b760
131896527a3c9
14b2206d2a5a
155eda6ed469
hex35a7278c78

230437653624 has 40 divisors (see below), whose sum is σ = 645438800160. Its totient is φ = 76812550992.

The previous prime is 230437653569. The next prime is 230437653671. The reversal of 230437653624 is 426356734032.

230437653624 is a `hidden beast` number, since 2 + 3 + 0 + 43 + 76 + 536 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 230437653624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 177806184 + ... + 177807479.

It is an arithmetic number, because the mean of its divisors is an integer number (16135970004).

Almost surely, 2230437653624 is an apocalyptic number.

230437653624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230437653624 is an abundant number, since it is smaller than the sum of its proper divisors (415001146536).

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

230437653624 is a wasteful number, since it uses less digits than its factorization.

230437653624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355613681 (or 355613668 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 230437653624 in words is "two hundred thirty billion, four hundred thirty-seven million, six hundred fifty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 355613663 711227326 1066840989 1422454652 2133681978 2844909304 3200522967 4267363956 6401045934 8534727912 9601568901 12802091868 19203137802 25604183736 28804706703 38406275604 57609413406 76812551208 115218826812 230437653624