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23357238240 = 253576951559
BaseRepresentation
bin10101110000001100…
…110010101111100000
32020021210202122022210
4111300030302233200
5340313423110430
614421414402120
71454546151330
oct256014625740
966253678283
1023357238240
1199a6608886
12463a360340
1322830aab3b
1411b81210c0
1591a8782b0
hex570332be0

23357238240 has 96 divisors (see below), whose sum is σ = 84086069760. Its totient is φ = 5338796544.

The previous prime is 23357238239. The next prime is 23357238257. The reversal of 23357238240 is 4283275332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 3472420 + ... + 3479139.

It is an arithmetic number, because the mean of its divisors is an integer number (875896560).

Almost surely, 223357238240 is an apocalyptic number.

23357238240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23357238240 is an abundant number, since it is smaller than the sum of its proper divisors (60728831520).

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

23357238240 is a wasteful number, since it uses less digits than its factorization.

23357238240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951584 (or 6951576 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 23357238240 in words is "twenty-three billion, three hundred fifty-seven million, two hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6951559 13903118 20854677 27806236 34757795 41709354 48660913 55612472 69515590 83418708 97321826 104273385 111224944 139031180 145982739 166837416 194643652 208546770 222449888 243304565 278062360 291965478 333674832 389287304 417093540 486609130 556124720 583930956 667349664 729913695 778574608 834187080 973218260 1112249440 1167861912 1459827390 1557149216 1668374160 1946436520 2335723824 2919654780 3336748320 3892873040 4671447648 5839309560 7785746080 11678619120 23357238240