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23586530225 = 5241173133013
BaseRepresentation
bin10101111101110111…
…011110001110110001
32020212210012212210112
4111331313132032301
5341301122431400
614500245111105
71463332125146
oct257567361661
966783185715
1023586530225
11a003a88295
1246a30b8495
1322bb74ca7b
1411da76a3cd
15930a6b835
hex57ddde3b1

23586530225 has 24 divisors (see below), whose sum is σ = 30134055672. Its totient is φ = 18302451200.

The previous prime is 23586530207. The next prime is 23586530263. The reversal of 23586530225 is 52203568532.

It can be written as a sum of positive squares in 12 ways, for example, as 6846569536 + 16739960689 = 82744^2 + 129383^2 .

It is not a de Polignac number, because 23586530225 - 212 = 23586526129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110819 + ... + 243831.

It is an arithmetic number, because the mean of its divisors is an integer number (1255585653).

Almost surely, 223586530225 is an apocalyptic number.

23586530225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23586530225 is a deficient number, since it is larger than the sum of its proper divisors (6547525447).

23586530225 is a wasteful number, since it uses less digits than its factorization.

23586530225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133237 (or 133232 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 23586530225 in words is "twenty-three billion, five hundred eighty-six million, five hundred thirty thousand, two hundred twenty-five".

Divisors: 1 5 25 41 173 205 865 1025 4325 7093 35465 133013 177325 665065 3325325 5453533 23011249 27267665 115056245 136338325 575281225 943461209 4717306045 23586530225