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23088025 = 52314
BaseRepresentation
bin101100000010…
…0101110011001
31121102222211001
41120010232121
521402304100
62142505001
7400150012
oct130045631
947388731
1023088025
111203a414
127895161
134a24b6c
1430d0009
152060d6a
hex1604b99

23088025 has 15 divisors (see below), whose sum is σ = 29583455. Its totient is φ = 17874600.

The previous prime is 23088017. The next prime is 23088071. The reversal of 23088025 is 52088032.

The square root of 23088025 is 4805.

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

It can be written as a sum of positive squares in only one way, i.e., 8311689 + 14776336 = 2883^2 + 3844^2 .

It is not a de Polignac number, because 23088025 - 23 = 23088017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23087984 and 23088002.

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 14 ways as a sum of consecutive naturals, for example, 744760 + ... + 744790.

Almost surely, 223088025 is an apocalyptic number.

23088025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23088025 is the 4805-th square number.

23088025 is the 2403-rd centered octagonal number.

It is an amenable number.

23088025 is a deficient number, since it is larger than the sum of its proper divisors (6495430).

23088025 is an frugal number, since it uses more digits than its factorization.

23088025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 23088025 is about 284.7490352522.

The spelling of 23088025 in words is "twenty-three million, eighty-eight thousand, twenty-five".

Divisors: 1 5 25 31 155 775 961 4805 24025 29791 148955 744775 923521 4617605 23088025