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225245104 = 24717281421
BaseRepresentation
bin11010110110011…
…11011110110000
3120200211122012021
431123033132300
5430130320404
634203441224
75403360160
oct1533173660
9520748167
10225245104
11106165a87
1263526214
1337885c36
1421cb45a0
1514b94454
hexd6cf7b0

225245104 has 80 divisors (see below), whose sum is σ = 531233856. Its totient is φ = 90316800.

The previous prime is 225245099. The next prime is 225245113. The reversal of 225245104 is 401542522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534814 + ... + 535234.

Almost surely, 2225245104 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 225245104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265616928).

225245104 is an abundant number, since it is smaller than the sum of its proper divisors (305988752).

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

225245104 is a wasteful number, since it uses less digits than its factorization.

225245104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 225245104 is about 15008.1679095085. The cubic root of 225245104 is about 608.4409745263.

Adding to 225245104 its reverse (401542522), we get a palindrome (626787626).

The spelling of 225245104 in words is "two hundred twenty-five million, two hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 281 421 476 562 842 952 1124 1684 1904 1967 2248 2947 3368 3934 4496 4777 5894 6736 7157 7868 9554 11788 14314 15736 19108 23576 28628 31472 33439 38216 47152 50099 57256 66878 76432 100198 114512 118301 133756 200396 236602 267512 400792 473204 535024 801584 828107 946408 1656214 1892816 2011117 3312428 4022234 6624856 8044468 13249712 14077819 16088936 28155638 32177872 56311276 112622552 225245104