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225675824 = 24117916231
BaseRepresentation
bin11010111001110…
…00101000110000
3120201122112000212
431130320220300
5430233111244
634221003252
75410133003
oct1534705060
9521575025
10225675824
1110642a650
12636b3528
13379a6cba
1421d8753a
1514c2bd9e
hexd738a30

225675824 has 40 divisors (see below), whose sum is σ = 483064320. Its totient is φ = 101275200.

The previous prime is 225675823. The next prime is 225675869. The reversal of 225675824 is 428576522.

It is not an unprimeable number, because it can be changed into a prime (225675823) 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, 5789 + ... + 22019.

It is an arithmetic number, because the mean of its divisors is an integer number (12076608).

Almost surely, 2225675824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225675824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241532160).

225675824 is an abundant number, since it is smaller than the sum of its proper divisors (257388496).

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

225675824 is a wasteful number, since it uses less digits than its factorization.

225675824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16329 (or 16323 counting only the distinct ones).

The product of its digits is 268800, while the sum is 41.

The square root of 225675824 is about 15022.5105757992. The cubic root of 225675824 is about 608.8285535454.

The spelling of 225675824 in words is "two hundred twenty-five million, six hundred seventy-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 3476 6952 13904 16231 32462 64924 129848 178541 259696 357082 714164 1282249 1428328 2564498 2856656 5128996 10257992 14104739 20515984 28209478 56418956 112837912 225675824