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2315885132 = 22112931127461
BaseRepresentation
bin1000101000001001…
…1001101001001100
312222101202011011102
42022002121221030
514220331311012
61021445242232
7111250461461
oct21202315114
95871664142
102315885132
11a89290860
12547703378
132aba47642
1417d805668
15d84ad2c2
hex8a099a4c

2315885132 has 96 divisors (see below), whose sum is σ = 4768727040. Its totient is φ = 973728000.

The previous prime is 2315885119. The next prime is 2315885147.

2315885132 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5023382 + ... + 5023842.

It is an arithmetic number, because the mean of its divisors is an integer number (49674240).

Almost surely, 22315885132 is an apocalyptic number.

2315885132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2315885132 is an abundant number, since it is smaller than the sum of its proper divisors (2452841908).

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

2315885132 is a wasteful number, since it uses less digits than its factorization.

2315885132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 661 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 2315885132 is about 48123.6442094736. The cubic root of 2315885132 is about 1323.0380612731.

The spelling of 2315885132 in words is "two billion, three hundred fifteen million, eight hundred eighty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 29 31 44 58 62 116 124 127 254 319 341 461 508 638 682 899 922 1276 1364 1397 1798 1844 2794 3596 3683 3937 5071 5588 7366 7874 9889 10142 13369 14291 14732 15748 19778 20284 26738 28582 39556 40513 43307 53476 57164 58547 81026 86614 114173 117094 147059 157201 162052 173228 228346 234188 294118 314402 414439 456692 588236 628804 644017 828878 1255903 1288034 1657756 1697863 1814957 2511806 2576068 3395726 3629914 4558829 5023612 6791452 7259828 9117658 18235316 18676493 19964527 37352986 39929054 52633753 74705972 79858108 105267506 210535012 578971283 1157942566 2315885132