Search a number
-
+
230837738032 = 24111453902669
BaseRepresentation
bin1101011011111100000…
…0000101101000110000
3211001211110221002102001
43112333000011220300
512240223430104112
6254013445503344
722451242253536
oct3267700055060
9731743832361
10230837738032
1189996981210
12388a3111b54
13189ca11b245
14b25b8ba156
1560108cbc57
hex35bf005a30

230837738032 has 40 divisors (see below), whose sum is σ = 488243370960. Its totient is φ = 104853914880.

The previous prime is 230837737997. The next prime is 230837738051.

230837738032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2308377380322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195607 + ... + 707062.

It is an arithmetic number, because the mean of its divisors is an integer number (12206084274).

Almost surely, 2230837738032 is an apocalyptic number.

230837738032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230837738032 is an abundant number, since it is smaller than the sum of its proper divisors (257405632928).

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

230837738032 is a wasteful number, since it uses less digits than its factorization.

230837738032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904141 (or 904135 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

It can be divided in two parts, 230837 and 738032, that added together give a palindrome (968869).

The spelling of 230837738032 in words is "two hundred thirty billion, eight hundred thirty-seven million, seven hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 1453 2906 5812 11624 15983 23248 31966 63932 127864 255728 902669 1805338 3610676 7221352 9929359 14442704 19858718 39717436 79434872 158869744 1311578057 2623156114 5246312228 10492624456 14427358627 20985248912 28854717254 57709434508 115418869016 230837738032