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225966432 = 2532353817
BaseRepresentation
bin11010111011111…
…11100101100000
3120202012021200010
431131333211200
5430321411212
634231124520
75412453156
oct1535774540
9522167603
10225966432
11106608a1a
1263813740
1337a79363
14220213d6
1514c8803c
hexd77f960

225966432 has 24 divisors (see below), whose sum is σ = 593162136. Its totient is φ = 75322112.

The previous prime is 225966413. The next prime is 225966443. The reversal of 225966432 is 234669522.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1176813 + ... + 1177004.

It is an arithmetic number, because the mean of its divisors is an integer number (24715089).

Almost surely, 2225966432 is an apocalyptic number.

It is an amenable number.

225966432 is an abundant number, since it is smaller than the sum of its proper divisors (367195704).

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

225966432 is a wasteful number, since it uses less digits than its factorization.

225966432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353830 (or 2353822 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 225966432 is about 15032.1798818402. The cubic root of 225966432 is about 609.0897756731.

The spelling of 225966432 in words is "two hundred twenty-five million, nine hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2353817 4707634 7061451 9415268 14122902 18830536 28245804 37661072 56491608 75322144 112983216 225966432