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2312532640 = 25511310859
BaseRepresentation
bin1000100111010110…
…0111001010100000
312222011102211102001
42021311213022200
514214002021030
61021245333344
7111210126445
oct21165471240
95864384361
102312532640
11a87401000
12546567254
132ab142712
1417d1b19cc
15d8049cca
hex89d672a0

2312532640 has 96 divisors (see below), whose sum is σ = 6009837120. Its totient is φ = 840843520.

The previous prime is 2312532613. The next prime is 2312532643. The reversal of 2312532640 is 462352132.

It is a super-2 number, since 2×23125326402 = 10695614422130739200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2312532599 and 2312532608.

It is not an unprimeable number, because it can be changed into a prime (2312532643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207531 + ... + 218389.

It is an arithmetic number, because the mean of its divisors is an integer number (62602470).

Almost surely, 22312532640 is an apocalyptic number.

2312532640 is a gapful number since it is divisible by the number (20) 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 2312532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004918560).

2312532640 is an abundant number, since it is smaller than the sum of its proper divisors (3697304480).

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

2312532640 is a wasteful number, since it uses less digits than its factorization.

2312532640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10907 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2312532640 is about 48088.7995275407. The cubic root of 2312532640 is about 1322.3993398252.

Adding to 2312532640 its reverse (462352132), we get a palindrome (2774884772).

The spelling of 2312532640 in words is "two billion, three hundred twelve million, five hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1331 1760 1936 2420 2662 3872 4840 5324 6655 9680 10648 10859 13310 19360 21296 21718 26620 42592 43436 53240 54295 86872 106480 108590 119449 173744 212960 217180 238898 347488 434360 477796 597245 868720 955592 1194490 1313939 1737440 1911184 2388980 2627878 3822368 4777960 5255756 6569695 9555920 10511512 13139390 14453329 19111840 21023024 26278780 28906658 42046048 52557560 57813316 72266645 105115120 115626632 144533290 210230240 231253264 289066580 462506528 578133160 1156266320 2312532640