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225965956 = 22374093733
BaseRepresentation
bin11010111011111…
…11011110000100
3120202012021000111
431131333132010
5430321402311
634231122404
75412451606
oct1535773604
9522167014
10225965956
11106608627
1263813404
1337a79088
1422021176
1514c87d21
hexd77f784

225965956 has 24 divisors (see below), whose sum is σ = 407230040. Its totient is φ = 109631232.

The previous prime is 225965947. The next prime is 225965959. The reversal of 225965956 is 659569522.

It can be written as a sum of positive squares in 4 ways, for example, as 136095556 + 89870400 = 11666^2 + 9480^2 .

It is a super-2 number, since 2×2259659562 = 102121226541987872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225965959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58666 + ... + 62398.

Almost surely, 2225965956 is an apocalyptic number.

It is an amenable number.

225965956 is a deficient number, since it is larger than the sum of its proper divisors (181264084).

225965956 is a wasteful number, since it uses less digits than its factorization.

225965956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4181 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 49.

The square root of 225965956 is about 15032.1640491314. The cubic root of 225965956 is about 609.0893479887.

The spelling of 225965956 in words is "two hundred twenty-five million, nine hundred sixty-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 37 74 148 409 818 1636 3733 7466 14932 15133 30266 60532 138121 276242 552484 1526797 3053594 6107188 56491489 112982978 225965956