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22958480 = 245286981
BaseRepresentation
bin101011110010…
…1000110010000
31121012102010002
41113211012100
521334132410
62140025132
7366100226
oct127450620
947172102
1022958480
1111a61056
1278321a8
1349aabcc
143098b16
1520377a5
hex15e5190

22958480 has 20 divisors (see below), whose sum is σ = 53378652. Its totient is φ = 9183360.

The previous prime is 22958473. The next prime is 22958521. The reversal of 22958480 is 8485922.

It can be written as a sum of positive squares in 2 ways, for example, as 7054336 + 15904144 = 2656^2 + 3988^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143411 + ... + 143570.

Almost surely, 222958480 is an apocalyptic number.

22958480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22958480 is an abundant number, since it is smaller than the sum of its proper divisors (30420172).

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

22958480 is a wasteful number, since it uses less digits than its factorization.

22958480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286994 (or 286988 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 22958480 is about 4791.5008087237. The cubic root of 22958480 is about 284.2154683038.

The spelling of 22958480 in words is "twenty-two million, nine hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 286981 573962 1147924 1434905 2295848 2869810 4591696 5739620 11479240 22958480