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23215867440 = 2435195091199
BaseRepresentation
bin10101100111110001…
…100000011000110000
32012220221202021001020
4111213301200120300
5340021230224230
614355404335440
71451211421503
oct254761403060
965827667036
1023215867440
11993382a907
1245bab44580
13225ca1088c
1411a344113a
1590d250810
hex567c60630

23215867440 has 80 divisors (see below), whose sum is σ = 75757056000. Its totient is φ = 5865060096.

The previous prime is 23215867417. The next prime is 23215867447. The reversal of 23215867440 is 4476851232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 23215867392 and 23215867401.

It is not an unprimeable number, because it can be changed into a prime (23215867447) 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, 2541040 + ... + 2550159.

It is an arithmetic number, because the mean of its divisors is an integer number (946963200).

Almost surely, 223215867440 is an apocalyptic number.

23215867440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23215867440 is an abundant number, since it is smaller than the sum of its proper divisors (52541188560).

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

23215867440 is a wasteful number, since it uses less digits than its factorization.

23215867440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091234 (or 5091228 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 23215867440 in words is "twenty-three billion, two hundred fifteen million, eight hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 5091199 10182398 15273597 20364796 25455995 30547194 40729592 50911990 61094388 76367985 81459184 96732781 101823980 122188776 152735970 193465562 203647960 244377552 290198343 305471940 386931124 407295920 483663905 580396686 610943880 773862248 967327810 1160793372 1221887760 1450991715 1547724496 1934655620 2321586744 2901983430 3869311240 4643173488 5803966860 7738622480 11607933720 23215867440