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225395946 = 2342947977
BaseRepresentation
bin11010110111101…
…00010011101010
3120201010022010000
431123310103222
5430200132241
634211003430
75404556016
oct1533642352
9521108100
10225395946
11106259346
1263599576
13379097a9
1421d13546
1514bc3eb6
hexd6f44ea

225395946 has 40 divisors (see below), whose sum is σ = 522480420. Its totient is φ = 72539712.

The previous prime is 225395941. The next prime is 225395959. The reversal of 225395946 is 649593522.

225395946 is a `hidden beast` number, since 2 + 2 + 53 + 9 + 594 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 193349025 + 32046921 = 13905^2 + 5661^2 .

It is not an unprimeable number, because it can be changed into a prime (225395941) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19291 + ... + 28686.

Almost surely, 2225395946 is an apocalyptic number.

225395946 is an abundant number, since it is smaller than the sum of its proper divisors (297084474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225395946 is a wasteful number, since it uses less digits than its factorization.

225395946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48020 (or 48011 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 225395946 is about 15013.1923986872. The cubic root of 225395946 is about 608.5767643424.

The spelling of 225395946 in words is "two hundred twenty-five million, three hundred ninety-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 47977 95954 143931 287862 431793 863586 1295379 1391333 2590758 2782666 3886137 4173999 7772274 8347998 12521997 25043994 37565991 75131982 112697973 225395946