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225754752 = 2732325561
BaseRepresentation
bin11010111010010…
…11111010000000
3120201210112022010
431131023322000
5430243123002
634222412520
75410612056
oct1535137200
9521715263
10225754752
11106483983
1263731140
1337a03bc2
1421da81d6
1514c4546c
hexd74be80

225754752 has 64 divisors (see below), whose sum is σ = 625757760. Its totient is φ = 71976960.

The previous prime is 225754721. The next prime is 225754757. The reversal of 225754752 is 257457522.

225754752 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 225754752.

It is not an unprimeable number, because it can be changed into a prime (225754757) 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, 3949 + ... + 21612.

It is an arithmetic number, because the mean of its divisors is an integer number (9777465).

Almost surely, 2225754752 is an apocalyptic number.

It is an amenable number.

225754752 is an abundant number, since it is smaller than the sum of its proper divisors (400003008).

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

225754752 is a wasteful number, since it uses less digits than its factorization.

225754752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25601 (or 25589 counting only the distinct ones).

The product of its digits is 196000, while the sum is 39.

The square root of 225754752 is about 15025.1373371427. The cubic root of 225754752 is about 608.8995226287.

The spelling of 225754752 in words is "two hundred twenty-five million, seven hundred fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 25561 51122 76683 102244 153366 204488 306732 408976 587903 613464 817952 1175806 1226928 1635904 1763709 2351612 2453856 3271808 3527418 4703224 4907712 7054836 9406448 9815424 14109672 18812896 28219344 37625792 56438688 75251584 112877376 225754752