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225315693 = 32891032731
BaseRepresentation
bin11010110111000…
…00101101101101
3120200222020000200
431123200231231
5430140100233
634205144113
75404103031
oct1533405555
9520866020
10225315693
11106204019
126355b039
13378ac0c5
1421cd21c1
1514baa313
hexd6e0b6d

225315693 has 24 divisors (see below), whose sum is σ = 332429760. Its totient is φ = 147026880.

The previous prime is 225315679. The next prime is 225315757. The reversal of 225315693 is 396513522.

It is not a de Polignac number, because 225315693 - 28 = 225315437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225315193) 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, 81138 + ... + 83868.

It is an arithmetic number, because the mean of its divisors is an integer number (13851240).

Almost surely, 2225315693 is an apocalyptic number.

It is an amenable number.

225315693 is a deficient number, since it is larger than the sum of its proper divisors (107114067).

225315693 is a wasteful number, since it uses less digits than its factorization.

225315693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2926 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 225315693 is about 15010.5194113995. The cubic root of 225315693 is about 608.5045271532.

It can be divided in two parts, 22531 and 5693, that added together give a square (28224 = 1682).

The spelling of 225315693 in words is "two hundred twenty-five million, three hundred fifteen thousand, six hundred ninety-three".

Divisors: 1 3 9 89 103 267 309 801 927 2731 8193 9167 24579 27501 82503 243059 281293 729177 843879 2187531 2531637 25035077 75105231 225315693