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8933085225 = 325263012
BaseRepresentation
bin10000101000111010…
…00001000000101001
3212001120011202012100
420110131001000221
5121243332211400
64034231004013
7434240654151
oct102435010051
925046152170
108933085225
113874548169
121893809609
13ac4951b5c
1460a597761
153743b0100
hex214741029

8933085225 has 27 divisors (see below), whose sum is σ = 16002687909. Its totient is φ = 4763556000.

The previous prime is 8933085199. The next prime is 8933085229. The reversal of 8933085225 is 5225803398.

The square root of 8933085225 is 94515.

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

8933085225 is a `hidden beast` number, since 8 + 93 + 30 + 8 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5103081 + 8927982144 = 2259^2 + 94488^2 .

It is not a de Polignac number, because 8933085225 - 25 = 8933085193 is a prime.

It is a super-2 number, since 2×89330852252 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8933085229) 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, 1414575 + ... + 1420875.

Almost surely, 28933085225 is an apocalyptic number.

8933085225 is the 94515-th square number.

8933085225 is the 47258-th centered octagonal number.

It is an amenable number.

8933085225 is a deficient number, since it is larger than the sum of its proper divisors (7069602684).

8933085225 is an frugal number, since it uses more digits than its factorization.

8933085225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12618 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The cubic root of 8933085225 is about 2074.9158702040.

The spelling of 8933085225 in words is "eight billion, nine hundred thirty-three million, eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 6301 18903 31505 56709 94515 157525 283545 472575 1417725 39702601 119107803 198513005 357323409 595539015 992565025 1786617045 2977695075 8933085225