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22640842304 = 262330750101
BaseRepresentation
bin10101000101011111…
…111101011001000000
32011102212201221211222
4111011133331121000
5332332023423204
614222343454212
71431026661413
oct250537753100
964385657758
1022640842304
11966918aa23
12447a457368
13219a84a912
14114ad19b7a
158c7a17abe
hex5457fd640

22640842304 has 56 divisors (see below), whose sum is σ = 47034955968. Its totient is φ = 10792742400.

The previous prime is 22640842253. The next prime is 22640842307. The reversal of 22640842304 is 40324804622.

It is not an unprimeable number, because it can be changed into a prime (22640842307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426854 + ... + 476954.

It is an arithmetic number, because the mean of its divisors is an integer number (839909928).

Almost surely, 222640842304 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 22640842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23517477984).

22640842304 is an abundant number, since it is smaller than the sum of its proper divisors (24394113664).

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

22640842304 is a wasteful number, since it uses less digits than its factorization.

22640842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50443 (or 50433 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 22640842304 in words is "twenty-two billion, six hundred forty million, eight hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 307 368 614 736 1228 1472 2456 4912 7061 9824 14122 19648 28244 50101 56488 100202 112976 200404 225952 400808 451904 801616 1152323 1603232 2304646 3206464 4609292 9218584 15381007 18437168 30762014 36874336 61524028 73748672 123048056 246096112 353763161 492192224 707526322 984384448 1415052644 2830105288 5660210576 11320421152 22640842304