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22664252880 = 2432531478129
BaseRepresentation
bin10101000110111001…
…010000110111010000
32011111111210100010100
4111012321100313100
5332404022043010
614224541332400
71431432654003
oct250671206720
964444710110
1022664252880
11968041a705
124486267100
1321a2656529
14115009153a
158c9ade2c0
hex546e50dd0

22664252880 has 60 divisors (see below), whose sum is σ = 76114118340. Its totient is φ = 6043800576.

The previous prime is 22664252873. The next prime is 22664252917. The reversal of 22664252880 is 8825246622.

22664252880 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 42 + 528 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3049690176 + 19614562704 = 55224^2 + 140052^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15738345 + ... + 15739784.

It is an arithmetic number, because the mean of its divisors is an integer number (1268568639).

Almost surely, 222664252880 is an apocalyptic number.

22664252880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22664252880 is an abundant number, since it is smaller than the sum of its proper divisors (53449865460).

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

22664252880 is a wasteful number, since it uses less digits than its factorization.

22664252880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31478148 (or 31478139 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 22664252880 in words is "twenty-two billion, six hundred sixty-four million, two hundred fifty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 31478129 62956258 94434387 125912516 157390645 188868774 251825032 283303161 314781290 377737548 472171935 503650064 566606322 629562580 755475096 944343870 1133212644 1259125160 1416515805 1510950192 1888687740 2266425288 2518250320 2833031610 3777375480 4532850576 5666063220 7554750960 11332126440 22664252880