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223997256 = 233272231993
BaseRepresentation
bin11010101100111…
…10110101001000
3120121111020110200
431112132311020
5424320403011
634121012200
75356642140
oct1526366510
9517436420
10223997256
111054934aa
1263024060
1337539c72
1421a6b920
15149e9856
hexd59ed48

223997256 has 96 divisors (see below), whose sum is σ = 696783360. Its totient is φ = 63680256.

The previous prime is 223997243. The next prime is 223997269. The reversal of 223997256 is 652799322.

It is a happy number.

223997256 is a `hidden beast` number, since 2 + 2 + 399 + 7 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (223997243) and next prime (223997269).

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, 111396 + ... + 113388.

It is an arithmetic number, because the mean of its divisors is an integer number (7258160).

Almost surely, 2223997256 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 223997256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348391680).

223997256 is an abundant number, since it is smaller than the sum of its proper divisors (472786104).

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

223997256 is a wasteful number, since it uses less digits than its factorization.

223997256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2228 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 223997256 is about 14966.5378762090. The cubic root of 223997256 is about 607.3153144840.

The spelling of 223997256 in words is "two hundred twenty-three million, nine hundred ninety-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 223 252 446 504 669 892 1338 1561 1784 1993 2007 2676 3122 3986 4014 4683 5352 5979 6244 7972 8028 9366 11958 12488 13951 14049 15944 16056 17937 18732 23916 27902 28098 35874 37464 41853 47832 55804 56196 71748 83706 111608 112392 125559 143496 167412 251118 334824 444439 502236 888878 1004472 1333317 1777756 2666634 3111073 3555512 3999951 5333268 6222146 7999902 9333219 10666536 12444292 15999804 18666438 24888584 27999657 31999608 37332876 55999314 74665752 111998628 223997256