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225755664 = 24347100069
BaseRepresentation
bin11010111010011…
…00001000010000
3120201210120112220
431131030020100
5430243140124
634222421040
75410614531
oct1535141020
9521716486
10225755664
11106484632
1263731780
1337a04444
1421da8688
1514c45879
hexd74c210

225755664 has 40 divisors (see below), whose sum is σ = 595616640. Its totient is φ = 73650048.

The previous prime is 225755659. The next prime is 225755729. The reversal of 225755664 is 466557522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47779 + ... + 52290.

It is an arithmetic number, because the mean of its divisors is an integer number (14890416).

Almost surely, 2225755664 is an apocalyptic number.

225755664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225755664 is an abundant number, since it is smaller than the sum of its proper divisors (369860976).

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

225755664 is a wasteful number, since it uses less digits than its factorization.

225755664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100127 (or 100121 counting only the distinct ones).

The product of its digits is 504000, while the sum is 42.

The square root of 225755664 is about 15025.1676862523. The cubic root of 225755664 is about 608.9003425681.

The spelling of 225755664 in words is "two hundred twenty-five million, seven hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 100069 200138 300207 400276 600414 800552 1200828 1601104 2401656 4703243 4803312 9406486 14109729 18812972 28219458 37625944 56438916 75251888 112877832 225755664