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225749853 = 32723155797
BaseRepresentation
bin11010111010010…
…10101101011101
3120201210021120200
431131022231131
5430242443403
634222334113
75410561560
oct1535125535
9521707520
10225749853
1110648022a
126372a339
1337a018c4
1421da64d7
1514c43ca3
hexd74ab5d

225749853 has 24 divisors (see below), whose sum is σ = 388871808. Its totient is φ = 123390432.

The previous prime is 225749827. The next prime is 225749863. The reversal of 225749853 is 358947522.

225749853 is a `hidden beast` number, since 22 + 574 + 9 + 8 + 53 = 666.

It is not a de Polignac number, because 225749853 - 218 = 225487709 is a prime.

It is a super-2 number, since 2×2257498532 = 101925992259043218, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225749799 and 225749808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225749863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76450 + ... + 79347.

It is an arithmetic number, because the mean of its divisors is an integer number (16202992).

Almost surely, 2225749853 is an apocalyptic number.

225749853 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

225749853 is a deficient number, since it is larger than the sum of its proper divisors (163121955).

225749853 is a wasteful number, since it uses less digits than its factorization.

225749853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155833 (or 155830 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 225749853 is about 15024.9743094622. The cubic root of 225749853 is about 608.8951181140.

The spelling of 225749853 in words is "two hundred twenty-five million, seven hundred forty-nine thousand, eight hundred fifty-three".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 155797 467391 1090579 1402173 3271737 3583331 9815211 10749993 25083317 32249979 75249951 225749853