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22425768 = 2333473
BaseRepresentation
bin101010110001…
…1000010101000
31120012100101000
41111203002220
521220111033
62120355000
7361421151
oct125430250
946170330
1022425768
11117278a2
127615a60
1348525b1
142d9a928
151e7ea13
hex15630a8

22425768 has 64 divisors (see below), whose sum is σ = 63648000. Its totient is φ = 7316208.

The previous prime is 22425763. The next prime is 22425779. The reversal of 22425768 is 86752422.

The cubic root of 22425768 is 282.

It is a perfect power (a cube), and thus also a powerful number.

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

It is not an unprimeable number, because it can be changed into a prime (22425761) 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, 477121 + ... + 477167.

It is an arithmetic number, because the mean of its divisors is an integer number (994500).

Almost surely, 222425768 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 22425768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31824000).

22425768 is an abundant number, since it is smaller than the sum of its proper divisors (41222232).

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

22425768 is an frugal number, since it uses more digits than its factorization.

22425768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 52 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 22425768 is about 4735.5852858966.

The spelling of 22425768 in words is "twenty-two million, four hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2209 2538 3384 4418 5076 6627 8836 10152 13254 17672 19881 26508 39762 53016 59643 79524 103823 119286 159048 207646 238572 311469 415292 477144 622938 830584 934407 1245876 1868814 2491752 2803221 3737628 5606442 7475256 11212884 22425768