Search a number
-
+
22965920 = 255143537
BaseRepresentation
bin101011110011…
…0111010100000
31121012210022122
41113212322200
521334402140
62140123412
7366131015
oct127467240
947183278
1022965920
1111a666aa
127836568
1349b1403
14309b70c
152039ab5
hex15e6ea0

22965920 has 24 divisors (see below), whose sum is σ = 54257364. Its totient is φ = 9186304.

The previous prime is 22965919. The next prime is 22965931. The reversal of 22965920 is 2956922.

It can be written as a sum of positive squares in 2 ways, for example, as 21418384 + 1547536 = 4628^2 + 1244^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71609 + ... + 71928.

Almost surely, 222965920 is an apocalyptic number.

22965920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22965920 is an abundant number, since it is smaller than the sum of its proper divisors (31291444).

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

22965920 is a wasteful number, since it uses less digits than its factorization.

22965920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143552 (or 143544 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 22965920 is about 4792.2771205347. The cubic root of 22965920 is about 284.2461662523.

The spelling of 22965920 in words is "twenty-two million, nine hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 143537 287074 574148 717685 1148296 1435370 2296592 2870740 4593184 5741480 11482960 22965920