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23126481 = 32722292
BaseRepresentation
bin101100000111…
…0000111010001
31121111221120100
41120032013101
521410021411
62143403013
7400400100
oct130160721
947457510
1023126481
11120662a4
1278b3469
134a39511
143100037
15206c456
hex160e1d1

23126481 has 27 divisors (see below), whose sum is σ = 39029211. Its totient is φ = 13157424.

The previous prime is 23126479. The next prime is 23126483. The reversal of 23126481 is 18462132.

The square root of 23126481 is 4809.

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

23126481 is a `hidden beast` number, since 2 + 3 + 12 + 648 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (23126479) and next prime (23126483).

It can be written as a sum of positive squares in only one way, i.e., 21538881 + 1587600 = 4641^2 + 1260^2 .

It is not a de Polignac number, because 23126481 - 21 = 23126479 is a prime.

It is a super-2 number, since 2×231264812 = 1069668246886722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23126483) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 100875 + ... + 101103.

Almost surely, 223126481 is an apocalyptic number.

23126481 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23126481 is the 4809-th square number.

23126481 is the 2405-th centered octagonal number.

It is an amenable number.

23126481 is a deficient number, since it is larger than the sum of its proper divisors (15902730).

23126481 is an equidigital number, since it uses as much as digits as its factorization.

23126481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The cubic root of 23126481 is about 284.9070426293.

Multiplying 23126481 by its product of digits (2304), we get a square (53283412224 = 2308322).

The spelling of 23126481 in words is "twenty-three million, one hundred twenty-six thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 229 441 687 1603 2061 4809 11221 14427 33663 52441 100989 157323 367087 471969 1101261 2569609 3303783 7708827 23126481