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22928152 = 23131131951
BaseRepresentation
bin101011101110…
…1101100011000
31121010212111211
41113131230120
521332200102
62135232504
7365612632
oct127355430
947125454
1022928152
1111a40295
127818734
13499a170
14308ba52
15202d7d7
hex15ddb18

22928152 has 32 divisors (see below), whose sum is σ = 46730880. Its totient is φ = 10483200.

The previous prime is 22928149. The next prime is 22928153. The reversal of 22928152 is 25182922.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22928153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10777 + ... + 12727.

It is an arithmetic number, because the mean of its divisors is an integer number (1460340).

Almost surely, 222928152 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 22928152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23365440).

22928152 is an abundant number, since it is smaller than the sum of its proper divisors (23802728).

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

22928152 is a wasteful number, since it uses less digits than its factorization.

22928152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2079 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 22928152 is about 4788.3349924582. The cubic root of 22928152 is about 284.0902642394.

The spelling of 22928152 in words is "twenty-two million, nine hundred twenty-eight thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 113 226 452 904 1469 1951 2938 3902 5876 7804 11752 15608 25363 50726 101452 202904 220463 440926 881852 1763704 2866019 5732038 11464076 22928152