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225501696 = 293276991
BaseRepresentation
bin11010111000011…
…10001000000000
3120201022200011200
431130032020000
5430212023241
634213141200
75405506230
oct1534161000
9521280150
10225501696
11106320842
126362a800
1337945974
1421d3dcc0
1514be54b6
hexd70e200

225501696 has 120 divisors (see below), whose sum is σ = 743892864. Its totient is φ = 64419840.

The previous prime is 225501677. The next prime is 225501713. The reversal of 225501696 is 696105522.

225501696 is a `hidden beast` number, since 2 + 2 + 550 + 16 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225501696.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28761 + ... + 35751.

Almost surely, 2225501696 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 225501696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371946432).

225501696 is an abundant number, since it is smaller than the sum of its proper divisors (518391168).

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

225501696 is an equidigital number, since it uses as much as digits as its factorization.

225501696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 225501696 is about 15016.7138881980. The cubic root of 225501696 is about 608.6719256673.

The spelling of 225501696 in words is "two hundred twenty-five million, five hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 6991 8064 10752 13982 16128 20973 27964 32256 41946 48937 55928 62919 83892 97874 111856 125838 146811 167784 195748 223712 251676 293622 335568 391496 440433 447424 503352 587244 671136 782992 880866 894848 1006704 1174488 1342272 1565984 1761732 1789696 2013408 2348976 2684544 3131968 3523464 3579392 4026816 4697952 5369088 6263936 7046928 8053632 9395904 10738176 12527872 14093856 16107264 18791808 25055744 28187712 32214528 37583616 56375424 75167232 112750848 225501696