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205573225 = 52111357503
BaseRepresentation
bin11000100000011…
…00110001101001
3112022211012110011
430100030301221
5410111320400
632222051521
75044225564
oct1420146151
9468735404
10205573225
11a604a230
1258a19ba1
1333788c80
141d4334db
15130aa8ba
hexc40cc69

205573225 has 24 divisors (see below), whose sum is σ = 299480832. Its totient is φ = 138004800.

The previous prime is 205573223. The next prime is 205573259. The reversal of 205573225 is 522375502.

It is not a de Polignac number, because 205573225 - 21 = 205573223 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205573223) 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 23 ways as a sum of consecutive naturals, for example, 25177 + ... + 32326.

It is an arithmetic number, because the mean of its divisors is an integer number (12478368).

Almost surely, 2205573225 is an apocalyptic number.

205573225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205573225 is a deficient number, since it is larger than the sum of its proper divisors (93907607).

205573225 is a wasteful number, since it uses less digits than its factorization.

205573225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57537 (or 57532 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 31.

The square root of 205573225 is about 14337.8249745211. The cubic root of 205573225 is about 590.1859272303.

The spelling of 205573225 in words is "two hundred five million, five hundred seventy-three thousand, two hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 143 275 325 715 3575 57503 287515 632533 747539 1437575 3162665 3737695 8222929 15813325 18688475 41114645 205573225