Search a number
-
+
22532717664 = 253278238603
BaseRepresentation
bin10100111111000011…
…011111110001100000
32011011100021122201200
4110333003133301200
5332121333431124
614203522201200
71425244640262
oct247703376140
964140248650
1022532717664
11961314a316
12444a1b3200
132181321042
14113a811b32
158bd2aabc9
hex53f0dfc60

22532717664 has 36 divisors (see below), whose sum is σ = 64077416676. Its totient is φ = 7510905792.

The previous prime is 22532717621. The next prime is 22532717681. The reversal of 22532717664 is 46671723522.

22532717664 is a `hidden beast` number, since 2 + 253 + 271 + 76 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39119014 + ... + 39119589.

It is an arithmetic number, because the mean of its divisors is an integer number (1779928241).

Almost surely, 222532717664 is an apocalyptic number.

22532717664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22532717664 is an abundant number, since it is smaller than the sum of its proper divisors (41544699012).

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

22532717664 is a wasteful number, since it uses less digits than its factorization.

22532717664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78238619 (or 78238608 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 22532717664 in words is "twenty-two billion, five hundred thirty-two million, seven hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 78238603 156477206 234715809 312954412 469431618 625908824 704147427 938863236 1251817648 1408294854 1877726472 2503635296 2816589708 3755452944 5633179416 7510905888 11266358832 22532717664