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2312936648 = 23111391731093
BaseRepresentation
bin1000100111011100…
…1001110011001000
312222012012100121022
42021313021303020
514214102433043
61021302132012
7111213431351
oct21167116310
95865170538
102312936648
11a876575a0
12546721008
132ab254589
1417d278d28
15d80c9868
hex89dc9cc8

2312936648 has 64 divisors (see below), whose sum is σ = 4796971200. Its totient is φ = 1036788480.

The previous prime is 2312936627. The next prime is 2312936653. The reversal of 2312936648 is 8466392132.

It is a Cunningham number, because it is equal to 480932-1.

It is a super-2 number, since 2×23129366482 = 10699351875322951808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2312936599 and 2312936608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2115590 + ... + 2116682.

It is an arithmetic number, because the mean of its divisors is an integer number (74952675).

Almost surely, 22312936648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312936648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398485600).

2312936648 is an abundant number, since it is smaller than the sum of its proper divisors (2484034552).

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

2312936648 is a wasteful number, since it uses less digits than its factorization.

2312936648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1418 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 2312936648 is about 48092.9999896035. Note that the first 4 decimals coincide. The cubic root of 2312936648 is about 1322.4763446919.

The spelling of 2312936648 in words is "two billion, three hundred twelve million, nine hundred thirty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 139 173 278 346 556 692 1093 1112 1384 1529 1903 2186 3058 3806 4372 6116 7612 8744 12023 12232 15224 24046 24047 48092 48094 96184 96188 151927 189089 192376 264517 303854 378178 529034 607708 756356 1058068 1215416 1512712 1671197 2079979 2116136 3342394 4159958 6684788 8319916 13369576 16639832 26283371 52566742 105133484 210266968 289117081 578234162 1156468324 2312936648