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2315648192 = 261113421601
BaseRepresentation
bin1000101000000101…
…1111110011000000
312222101022010010212
42022001133303000
514220301220232
61021440213252
7111245453624
oct21201376300
95871263125
102315648192
11a89139840
1254760a228
132ab993840
1417d783184
15d8462eb2
hex8a05fcc0

2315648192 has 112 divisors (see below), whose sum is σ = 5420282784. Its totient is φ = 967680000.

The previous prime is 2315648189. The next prime is 2315648197. The reversal of 2315648192 is 2918465132.

It is a super-2 number, since 2×23156481922 = 10724453098225737728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2315648197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3852692 + ... + 3853292.

It is an arithmetic number, because the mean of its divisors is an integer number (48395382).

Almost surely, 22315648192 is an apocalyptic number.

2315648192 is a gapful number since it is divisible by the number (22) 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 2315648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710141392).

2315648192 is an abundant number, since it is smaller than the sum of its proper divisors (3104634592).

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

2315648192 is a wasteful number, since it uses less digits than its factorization.

2315648192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1048 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 2315648192 is about 48121.1823628639. The cubic root of 2315648192 is about 1322.9929393849.

The spelling of 2315648192 in words is "two billion, three hundred fifteen million, six hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 421 572 601 704 832 842 1144 1202 1684 2288 2404 3368 4576 4631 4808 5473 6611 6736 7813 9152 9262 9616 10946 13222 13472 15626 18524 19232 21892 26444 26944 31252 37048 38464 43784 52888 60203 62504 74096 85943 87568 105776 120406 125008 148192 171886 175136 211552 240812 250016 253021 296384 343772 350272 423104 481624 500032 506042 687544 963248 1012084 1375088 1926496 2024168 2750176 2783231 3289273 3852992 4048336 5500352 5566462 6578546 8096672 11132924 13157092 16193344 22265848 26314184 36182003 44531696 52628368 72364006 89063392 105256736 144728012 178126784 210513472 289456024 578912048 1157824096 2315648192