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225245808 = 243223471447
BaseRepresentation
bin11010110110011…
…11101001110000
3120200211200011100
431123033221300
5430130331213
634203444400
75403362214
oct1533175160
9520750140
10225245808
11106166567
1263526700
1337886358
1421cb4944
1514b94773
hexd6cfa70

225245808 has 120 divisors (see below), whose sum is σ = 672242688. Its totient is φ = 70240896.

The previous prime is 225245791. The next prime is 225245837. The reversal of 225245808 is 808542522.

225245808 is a `hidden beast` number, since 22 + 52 + 4 + 580 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154941 + ... + 156387.

Almost surely, 2225245808 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 225245808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336121344).

225245808 is an abundant number, since it is smaller than the sum of its proper divisors (446996880).

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

225245808 is a wasteful number, since it uses less digits than its factorization.

225245808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 225245808 is about 15008.1913633855. The cubic root of 225245808 is about 608.4416084165.

The spelling of 225245808 in words is "two hundred twenty-five million, two hundred forty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 47 48 69 72 92 94 138 141 144 184 188 207 276 282 368 376 414 423 552 564 752 828 846 1081 1104 1128 1447 1656 1692 2162 2256 2894 3243 3312 3384 4324 4341 5788 6486 6768 8648 8682 9729 11576 12972 13023 17296 17364 19458 23152 25944 26046 33281 34728 38916 51888 52092 66562 68009 69456 77832 99843 104184 133124 136018 155664 199686 204027 208368 266248 272036 299529 399372 408054 532496 544072 599058 612081 798744 816108 1088144 1198116 1224162 1564207 1597488 1632216 2396232 2448324 3128414 3264432 4692621 4792464 4896648 6256828 9385242 9793296 12513656 14077863 18770484 25027312 28155726 37540968 56311452 75081936 112622904 225245808