Search a number
-
+
22058272512 = 28351392551
BaseRepresentation
bin10100100010110001…
…101000011100000000
32002221021112100100000
4110202301220130000
5330133404210022
614044453200000
71410424136253
oct244261503400
962837470300
1022058272512
11939a357691
124337330000
132106c45873
1410d37cd09a
158917de6ac
hex522c68700

22058272512 has 216 divisors, whose sum is σ = 66455509120. Its totient is φ = 7296998400.

The previous prime is 22058272493. The next prime is 22058272553. The reversal of 22058272512 is 21527285022.

22058272512 is a `hidden beast` number, since 2 + 2 + 0 + 582 + 72 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8645637 + ... + 8648187.

Almost surely, 222058272512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22058272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33227754560).

22058272512 is an abundant number, since it is smaller than the sum of its proper divisors (44397236608).

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

22058272512 is an equidigital number, since it uses as much as digits as its factorization.

22058272512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 22058272512 in words is "twenty-two billion, fifty-eight million, two hundred seventy-two thousand, five hundred twelve".