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202664225 = 52172811697
BaseRepresentation
bin11000001010001…
…10100100100001
3112010100102001102
430011012210201
5403340223400
632035444145
75010421541
oct1405064441
9463312042
10202664225
11a44426a5
1257a56655
1332caab7a
141ccb7321
1512bd39d5
hexc146921

202664225 has 24 divisors (see below), whose sum is σ = 267190488. Its totient is φ = 151961600.

The previous prime is 202664221. The next prime is 202664249. The reversal of 202664225 is 522466202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 529 + 202663696 = 23^2 + 14236^2 .

It is not a de Polignac number, because 202664225 - 22 = 202664221 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202664221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118577 + ... + 120273.

It is an arithmetic number, because the mean of its divisors is an integer number (11132937).

Almost surely, 2202664225 is an apocalyptic number.

202664225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

202664225 is a deficient number, since it is larger than the sum of its proper divisors (64526263).

202664225 is a wasteful number, since it uses less digits than its factorization.

202664225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 202664225 is about 14236.0185796451. The cubic root of 202664225 is about 587.3888487474.

The spelling of 202664225 in words is "two hundred two million, six hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 281 425 1405 1697 4777 7025 8485 23885 28849 42425 119425 144245 476857 721225 2384285 8106569 11921425 40532845 202664225