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225521472 = 26311106781
BaseRepresentation
bin11010111000100…
…10111101000000
3120201100200022010
431130102331000
5430213141342
634213412520
75405621001
oct1534227500
9521320263
10225521472
11106334690
126363a140
1337951977
1421d471a8
1514beb29c
hexd712f40

225521472 has 56 divisors (see below), whose sum is σ = 650943072. Its totient is φ = 68339200.

The previous prime is 225521467. The next prime is 225521479. The reversal of 225521472 is 274125522.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225521479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51279 + ... + 55502.

Almost surely, 2225521472 is an apocalyptic number.

225521472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225521472 is an abundant number, since it is smaller than the sum of its proper divisors (425421600).

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

225521472 is a wasteful number, since it uses less digits than its factorization.

225521472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106807 (or 106797 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 225521472 is about 15017.3723400600. The cubic root of 225521472 is about 608.6897182078.

Adding to 225521472 its reverse (274125522), we get a palindrome (499646994).

The spelling of 225521472 in words is "two hundred twenty-five million, five hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 106781 213562 320343 427124 640686 854248 1174591 1281372 1708496 2349182 2562744 3416992 3523773 4698364 5125488 6833984 7047546 9396728 10250976 14095092 18793456 20501952 28190184 37586912 56380368 75173824 112760736 225521472