Search a number
-
+
230554455032 = 231113119999519
BaseRepresentation
bin1101011010111000011…
…1011100101111111000
3211001002201212211012002
43112232013130233320
512234133420030112
6253525410040132
722441232350556
oct3265607345770
9731081784162
10230554455032
1189860a85530
1238824279048
1318983524475
14b232018bd6
155ee5ac11c2
hex35ae1dcbf8

230554455032 has 32 divisors (see below), whose sum is σ = 475188595200. Its totient is φ = 103997493600.

The previous prime is 230554455007. The next prime is 230554455037.

230554455032 is nontrivially palindromic in base 10.

230554455032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230554455037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9988232 + ... + 10011287.

It is an arithmetic number, because the mean of its divisors is an integer number (14849643600).

Almost surely, 2230554455032 is an apocalyptic number.

230554455032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230554455032 is an abundant number, since it is smaller than the sum of its proper divisors (244634140168).

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

230554455032 is a wasteful number, since it uses less digits than its factorization.

230554455032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19999667 (or 19999663 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 38.

It can be divided in two parts, 230554 and 455032, that added together give a palindrome (685586).

The spelling of 230554455032 in words is "two hundred thirty billion, five hundred fifty-four million, four hundred fifty-five thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 2882 5764 11528 19999519 39999038 79998076 159996152 219994709 439989418 879978836 1759957672 2619936989 5239873978 10479747956 20959495912 28819306879 57638613758 115277227516 230554455032