Search a number
-
+
230551155032 = 231116318678609
BaseRepresentation
bin1101011010110111101…
…0110111000101011000
3211001002111200011102212
43112231322313011120
512234132043430112
6253525211214252
722441162324562
oct3265572670530
9731074604385
10230551155032
118985a131160
1238823147388
131898293a3c3
14b2317da332
155ee566d522
hex35adeb7158

230551155032 has 64 divisors (see below), whose sum is σ = 474784329600. Its totient is φ = 104085181440.

The previous prime is 230551154971. The next prime is 230551155047.

230551155032 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 230551155032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26775944 + ... + 26784552.

It is an arithmetic number, because the mean of its divisors is an integer number (7418505150).

Almost surely, 2230551155032 is an apocalyptic number.

230551155032 is a gapful number since it is divisible by the number (22) 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 230551155032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237392164800).

230551155032 is an abundant number, since it is smaller than the sum of its proper divisors (244233174568).

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

230551155032 is a wasteful number, since it uses less digits than its factorization.

230551155032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10656 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

It can be divided in two parts, 230551 and 155032, that added together give a palindrome (385583).

The spelling of 230551155032 in words is "two hundred thirty billion, five hundred fifty-one million, one hundred fifty-five thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 163 326 652 1304 1793 1867 3586 3734 7172 7468 8609 14344 14936 17218 20537 34436 41074 68872 82148 94699 164296 189398 304321 378796 608642 757592 1217284 1403267 2434568 2806534 3347531 5613068 6695062 11226136 13390124 15435937 16073003 26780248 30871874 32146006 61743748 64292012 123487496 128584024 176803033 353606066 707212132 1414424264 2619899489 5239798978 10479597956 20959195912 28818894379 57637788758 115275577516 230551155032