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23328000256 = 281141972083
BaseRepresentation
bin10101101110011101…
…010000100100000000
32020012202202012100111
4111232131100210000
5340233432002011
614414452001104
71454042505361
oct255635204400
966182665314
1023328000256
119991058960
124630600194
13227a011962
1411b42adb68
15918000121
hex56e750900

23328000256 has 144 divisors (see below), whose sum is σ = 52598726208. Its totient is φ = 10233446400.

The previous prime is 23328000251. The next prime is 23328000271. The reversal of 23328000256 is 65200082332.

It is not an unprimeable number, because it can be changed into a prime (23328000251) 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, 11198191 + ... + 11200273.

It is an arithmetic number, because the mean of its divisors is an integer number (365268932).

Almost surely, 223328000256 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 23328000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26299363104).

23328000256 is an abundant number, since it is smaller than the sum of its proper divisors (29270725952).

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

23328000256 is a wasteful number, since it uses less digits than its factorization.

23328000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 23328000256 its reverse (65200082332), we get a palindrome (88528082588).

The spelling of 23328000256 in words is "twenty-three billion, three hundred twenty-eight million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 97 128 164 176 194 256 328 352 388 451 656 704 776 902 1067 1312 1408 1552 1804 2083 2134 2624 2816 3104 3608 3977 4166 4268 5248 6208 7216 7954 8332 8536 10496 12416 14432 15908 16664 17072 22913 24832 28864 31816 33328 34144 43747 45826 57728 63632 66656 68288 85403 87494 91652 115456 127264 133312 136576 170806 174988 183304 202051 254528 266624 273152 341612 349976 366608 404102 509056 533248 683224 699952 733216 808204 939433 1018112 1366448 1399904 1466432 1616408 1878866 2222561 2732896 2799808 2932864 3232816 3757732 4445122 5465792 5599616 5865728 6465632 7515464 8284091 8890244 10931584 11199232 12931264 15030928 16568182 17780488 21863168 25862528 30061856 33136364 35560976 51725056 60123712 66272728 71121952 91125001 120247424 132545456 142243904 182250002 240494848 265090912 284487808 364500004 530181824 568975616 729000008 1060363648 1458000016 2120727296 2916000032 5832000064 11664000128 23328000256