Search a number
-
+
22488804864 = 293279163379
BaseRepresentation
bin10100111100011011…
…111110111000000000
32011001021122122200200
4110330123332320000
5332024113223424
614155313045200
71424202454521
oct247433767000
964037578620
1022488804864
1195a0386a49
124437556800
1321751b7536
141134a60848
158b94d48c9
hex53c6fee00

22488804864 has 240 divisors, whose sum is σ = 66303494400. Its totient is φ = 7336562688.

The previous prime is 22488804847. The next prime is 22488804887. The reversal of 22488804864 is 46840888422.

22488804864 is a `hidden beast` number, since 2 + 2 + 4 + 88 + 80 + 486 + 4 = 666.

It is a super-2 number, since 2×224888048642 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22488804864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59337027 + ... + 59337405.

It is an arithmetic number, because the mean of its divisors is an integer number (276264560).

Almost surely, 222488804864 is an apocalyptic number.

22488804864 is a gapful number since it is divisible by the number (24) 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 22488804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33151747200).

22488804864 is an abundant number, since it is smaller than the sum of its proper divisors (43814689536).

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

22488804864 is a wasteful number, since it uses less digits than its factorization.

22488804864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 22488804864 in words is "twenty-two billion, four hundred eighty-eight million, eight hundred four thousand, eight hundred sixty-four".