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12237890625 = 3258592
BaseRepresentation
bin10110110010110111…
…10110010001000001
31011120212202020221100
423121123312101001
5200030400000000
65342204245013
7612160232262
oct133133662101
934525666840
1012237890625
11520aa743a4
122456540769
1312005274cc
14841464969
154b95b1a00
hex2d96f6441

12237890625 has 81 divisors (see below), whose sum is σ = 22477039273. Its totient is φ = 6416250000.

The previous prime is 12237890603. The next prime is 12237890627. The reversal of 12237890625 is 52609873221.

The square root of 12237890625 is 110625.

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

12237890625 is a `hidden beast` number, since 12 + 2 + 3 + 7 + 8 + 9 + 0 + 625 = 666.

12237890625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8700971841 + 3536918784 = 93279^2 + 59472^2 .

It is not a de Polignac number, because 12237890625 - 211 = 12237888577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12237890627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 207421846 + ... + 207421904.

Almost surely, 212237890625 is an apocalyptic number.

12237890625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12237890625 is the 110625-th square number.

12237890625 is the 55313-rd centered octagonal number.

It is an amenable number.

12237890625 is a deficient number, since it is larger than the sum of its proper divisors (10239148648).

12237890625 is an frugal number, since it uses more digits than its factorization.

12237890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12237890625 in words is "twelve billion, two hundred thirty-seven million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 59 75 125 177 225 295 375 531 625 885 1125 1475 1875 2655 3125 3481 4425 5625 7375 9375 10443 13275 15625 17405 22125 28125 31329 36875 46875 52215 66375 78125 87025 110625 140625 156645 184375 234375 261075 331875 390625 435125 553125 703125 783225 921875 1171875 1305375 1659375 2175625 2765625 3515625 3916125 4609375 6526875 8296875 10878125 13828125 19580625 23046875 32634375 41484375 54390625 69140625 97903125 163171875 207421875 271953125 489515625 815859375 1359765625 2447578125 4079296875 12237890625