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23008339225 = 5223213192
BaseRepresentation
bin10101011011011001…
…110110010100011001
32012101111020201212001
4111123121312110121
5334110113323400
614323032321001
71443111441124
oct253331662431
965344221761
1023008339225
119837675893
124561543161
132228a1bb11
141183a5d3bb
158e9e0aa6a
hex55b676519

23008339225 has 27 divisors (see below), whose sum is σ = 29847351583. Its totient is φ = 17593033040.

The previous prime is 23008339147. The next prime is 23008339231. The reversal of 23008339225 is 52293380032.

The square root of 23008339225 is 151685.

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., 8283002121 + 14725337104 = 91011^2 + 121348^2 .

It is not a de Polignac number, because 23008339225 - 215 = 23008306457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17443116 + ... + 17444434.

Almost surely, 223008339225 is an apocalyptic number.

23008339225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23008339225 is the 151685-th square number.

23008339225 is the 75843-rd centered octagonal number.

It is an amenable number.

23008339225 is a deficient number, since it is larger than the sum of its proper divisors (6839012358).

23008339225 is an frugal number, since it uses more digits than its factorization.

23008339225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 23008339225 in words is "twenty-three billion, eight million, three hundred thirty-nine thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 1319 2645 6595 13225 30337 32975 151685 697751 758425 1739761 3488755 8698805 17443775 40014503 43494025 200072515 920333569 1000362575 4601667845 23008339225