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232309792134 = 23272839313933
BaseRepresentation
bin1101100001011010111…
…1100001110110000110
3211012122001212012000100
43120112233201312012
512301232301322014
6254415513024530
722532565436500
oct3302657416606
9735561765010
10232309792134
118a581904252
12390340b5146
1318ba30a7484
14b35b1c6d70
156099c56009
hex3616be1d86

232309792134 has 72 divisors (see below), whose sum is σ = 586215236880. Its totient is φ = 66294904032.

The previous prime is 232309792063. The next prime is 232309792139. The reversal of 232309792134 is 431297903232.

It is a self number, because there is not a number n which added to its sum of digits gives 232309792134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232309792139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 583032 + ... + 896964.

It is an arithmetic number, because the mean of its divisors is an integer number (8141878290).

Almost surely, 2232309792134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232309792134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293107618440).

232309792134 is an abundant number, since it is smaller than the sum of its proper divisors (353905444746).

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

232309792134 is a wasteful number, since it uses less digits than its factorization.

232309792134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314794 (or 314784 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 232309792134 in words is "two hundred thirty-two billion, three hundred nine million, seven hundred ninety-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 839 882 1678 2517 5034 5873 7551 11746 15102 17619 35238 41111 52857 82222 105714 123333 246666 313933 369999 627866 739998 941799 1883598 2197531 2825397 4395062 5650794 6592593 13185186 15382717 19777779 30765434 39555558 46148151 92296302 138444453 263389787 276888906 526779574 790169361 1580338722 1843728509 2370508083 3687457018 4741016166 5531185527 11062371054 12906099563 16593556581 25812199126 33187113162 38718298689 77436597378 116154896067 232309792134