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225966042 = 23212553669
BaseRepresentation
bin11010111011111…
…11011111011010
3120202012021010200
431131333133122
5430321403132
634231123030
75412452061
oct1535773732
9522167120
10225966042
111066086a5
1263813476
1337a79123
14220211d8
1514c87d7c
hexd77f7da

225966042 has 12 divisors (see below), whose sum is σ = 489593130. Its totient is φ = 75322008.

The previous prime is 225966017. The next prime is 225966043. The reversal of 225966042 is 240669522.

225966042 is a `hidden beast` number, since 2 + 2 + 596 + 60 + 4 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 223831521 + 2134521 = 14961^2 + 1461^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225965988 and 225966006.

It is not an unprimeable number, because it can be changed into a prime (225966043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6276817 + ... + 6276852.

Almost surely, 2225966042 is an apocalyptic number.

225966042 is an abundant number, since it is smaller than the sum of its proper divisors (263627088).

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

225966042 is a wasteful number, since it uses less digits than its factorization.

225966042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12553677 (or 12553674 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 225966042 is about 15032.1669096641. The cubic root of 225966042 is about 609.0894252595.

The spelling of 225966042 in words is "two hundred twenty-five million, nine hundred sixty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 12553669 25107338 37661007 75322014 112983021 225966042