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233204225 = 5229321661
BaseRepresentation
bin11011110011001…
…10101000000001
3121020211000001112
431321212220001
5434200013400
635050213105
75531126462
oct1571465001
9536730045
10233204225
1110a701871
1266124195
1339411887
1422d86d69
1515717835
hexde66a01

233204225 has 12 divisors (see below), whose sum is σ = 299145660. Its totient is φ = 180129600.

The previous prime is 233204219. The next prime is 233204327. The reversal of 233204225 is 522402332.

It can be written as a sum of positive squares in 6 ways, for example, as 18054001 + 215150224 = 4249^2 + 14668^2 .

It is not a de Polignac number, because 233204225 - 26 = 233204161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233204225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160106 + ... + 161555.

It is an arithmetic number, because the mean of its divisors is an integer number (24928805).

Almost surely, 2233204225 is an apocalyptic number.

233204225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233204225 is a deficient number, since it is larger than the sum of its proper divisors (65941435).

233204225 is a wasteful number, since it uses less digits than its factorization.

233204225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321700 (or 321695 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 233204225 is about 15271.0256695482. The cubic root of 233204225 is about 615.5246805879.

Adding to 233204225 its reverse (522402332), we get a palindrome (755606557).

The spelling of 233204225 in words is "two hundred thirty-three million, two hundred four thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 321661 1608305 8041525 9328169 46640845 233204225