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23315456960 = 265238338167
BaseRepresentation
bin10101101101101101…
…011010001111000000
32020011220010221011222
4111231231122033000
5340222224110320
614413323054212
71453531054115
oct255555321700
966156127158
1023315456960
119984a709a4
124628371368
13227753c5a3
1411b276690c
15916d73825
hex56db5a3c0

23315456960 has 112 divisors (see below), whose sum is σ = 58633376256. Its totient is φ = 8812987392.

The previous prime is 23315456959. The next prime is 23315456971. The reversal of 23315456960 is 6965451332.

It is a super-2 number, since 2×233154569602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 591797 + ... + 629963.

It is an arithmetic number, because the mean of its divisors is an integer number (523512288).

Almost surely, 223315456960 is an apocalyptic number.

23315456960 is a gapful number since it is divisible by the number (20) 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 23315456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29316688128).

23315456960 is an abundant number, since it is smaller than the sum of its proper divisors (35317919296).

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

23315456960 is a wasteful number, since it uses less digits than its factorization.

23315456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38290 (or 38280 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 44.

The spelling of 23315456960 in words is "twenty-three billion, three hundred fifteen million, four hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 83 92 115 160 166 184 230 320 332 368 415 460 664 736 830 920 1328 1472 1660 1840 1909 2656 3320 3680 3818 5312 6640 7360 7636 9545 13280 15272 19090 26560 30544 38167 38180 61088 76334 76360 122176 152668 152720 190835 305336 305440 381670 610672 610880 763340 877841 1221344 1526680 1755682 2442688 3053360 3167861 3511364 4389205 6106720 6335722 7022728 8778410 12213440 12671444 14045456 15839305 17556820 25342888 28090912 31678610 35113640 50685776 56181824 63357220 70227280 72860803 101371552 126714440 140454560 145721606 202743104 253428880 280909120 291443212 364304015 506857760 582886424 728608030 1013715520 1165772848 1457216060 2331545696 2914432120 4663091392 5828864240 11657728480 23315456960