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225497088 = 212332039
BaseRepresentation
bin11010111000011…
…01000000000000
3120201022102212000
431130031000000
5430211401323
634213104000
75405456625
oct1534150000
9521272760
10225497088
11106318333
1263628000
133794383b
1421d3c34c
1514be3e43
hexd70d000

225497088 has 104 divisors (see below), whose sum is σ = 668385600. Its totient is φ = 75128832.

The previous prime is 225497087. The next prime is 225497093. The reversal of 225497088 is 880794522.

225497088 is a `hidden beast` number, since 22 + 549 + 7 + 0 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225497087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109573 + ... + 111611.

Almost surely, 2225497088 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 225497088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334192800).

225497088 is an abundant number, since it is smaller than the sum of its proper divisors (442888512).

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

225497088 is an equidigital number, since it uses as much as digits as its factorization.

225497088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 225497088 is about 15016.5604583739. The cubic root of 225497088 is about 608.6677796832.

The spelling of 225497088 in words is "two hundred twenty-five million, four hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2039 2048 2304 3072 3456 4078 4096 4608 6117 6144 6912 8156 9216 12234 12288 13824 16312 18351 18432 24468 27648 32624 36702 36864 48936 55053 55296 65248 73404 97872 110106 110592 130496 146808 195744 220212 260992 293616 391488 440424 521984 587232 782976 880848 1043968 1174464 1565952 1761696 2087936 2348928 3131904 3523392 4175872 4697856 6263808 7046784 8351744 9395712 12527616 14093568 18791424 25055232 28187136 37582848 56374272 75165696 112748544 225497088