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2326220964 = 2233297191033
BaseRepresentation
bin1000101010100111…
…0101000010100100
320000010012021021000
42022221311002210
514231003032324
61022454553300
7111434360214
oct21251650244
96003167230
102326220964
11a94100271
1254b068830
132b0c26012
14180d36244
15d93509c9
hex8aa750a4

2326220964 has 96 divisors (see below), whose sum is σ = 6253632000. Its totient is φ = 746903808.

The previous prime is 2326220951. The next prime is 2326220971. The reversal of 2326220964 is 4690226232.

2326220964 is a `hidden beast` number, since 23 + 2 + 622 + 0 + 9 + 6 + 4 = 666.

It is a super-2 number, since 2×23262209642 = 10822607946706178592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2251392 + ... + 2252424.

It is an arithmetic number, because the mean of its divisors is an integer number (65142000).

Almost surely, 22326220964 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 2326220964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126816000).

2326220964 is an abundant number, since it is smaller than the sum of its proper divisors (3927411036).

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

2326220964 is a wasteful number, since it uses less digits than its factorization.

2326220964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2326220964 is about 48230.9129500987. The cubic root of 2326220964 is about 1325.0033870093.

The spelling of 2326220964 in words is "two billion, three hundred twenty-six million, two hundred twenty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 719 783 1033 1044 1438 1566 2066 2157 2876 3099 3132 4132 4314 6198 6471 8628 9297 12396 12942 18594 19413 20851 25884 27891 29957 37188 38826 41702 55782 59914 62553 77652 83404 89871 111564 119828 125106 179742 187659 250212 269613 359484 375318 539226 562977 742727 750636 808839 1078452 1125954 1485454 1617678 2228181 2251908 2970908 3235356 4456362 6684543 8912724 13369086 20053629 21539083 26738172 40107258 43078166 64617249 80214516 86156332 129234498 193851747 258468996 387703494 581555241 775406988 1163110482 2326220964