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213891925 = 52136110789
BaseRepresentation
bin11001011111110…
…11101101010101
3112220110211120011
430233323231111
5414224020200
633120240221
75205023422
oct1457735525
9486424504
10213891925
11aa811195
125b770071
133540c490
142059ad49
1513ba05ba
hexcbfbb55

213891925 has 24 divisors (see below), whose sum is σ = 290337320. Its totient is φ = 155347200.

The previous prime is 213891919. The next prime is 213891983. The reversal of 213891925 is 529198312.

213891925 = 29132 + 29142 + ... + 29372.

It can be written as a sum of positive squares in 12 ways, for example, as 161951076 + 51940849 = 12726^2 + 7207^2 .

It is not a de Polignac number, because 213891925 - 23 = 213891917 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14431 + ... + 25219.

Almost surely, 2213891925 is an apocalyptic number.

213891925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213891925 is a deficient number, since it is larger than the sum of its proper divisors (76445395).

213891925 is a wasteful number, since it uses less digits than its factorization.

213891925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10873 (or 10868 counting only the distinct ones).

The product of its digits is 38880, while the sum is 40.

The square root of 213891925 is about 14625.0444443769. The cubic root of 213891925 is about 598.0416940538.

The spelling of 213891925 in words is "two hundred thirteen million, eight hundred ninety-one thousand, nine hundred twenty-five".

Divisors: 1 5 13 25 61 65 305 325 793 1525 3965 10789 19825 53945 140257 269725 658129 701285 3290645 3506425 8555677 16453225 42778385 213891925