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226052568 = 233273891153
BaseRepresentation
bin11010111100101…
…00100111011000
3120202100122211100
431132110213120
5430332140233
634233031400
75413262250
oct1536244730
9522318740
10226052568
11106667705
1263855560
1337aa9621
1422044960
1514ca3813
hexd7949d8

226052568 has 96 divisors (see below), whose sum is σ = 702093600. Its totient is φ = 64364544.

The previous prime is 226052551. The next prime is 226052581. The reversal of 226052568 is 865250622.

226052568 is a `hidden beast` number, since 22 + 605 + 25 + 6 + 8 = 666.

226052568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 195480 + ... + 196632.

It is an arithmetic number, because the mean of its divisors is an integer number (7313475).

Almost surely, 2226052568 is an apocalyptic number.

226052568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226052568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351046800).

226052568 is an abundant number, since it is smaller than the sum of its proper divisors (476041032).

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

226052568 is a wasteful number, since it uses less digits than its factorization.

226052568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 226052568 is about 15035.0446623879. The cubic root of 226052568 is about 609.1671586890.

The spelling of 226052568 in words is "two hundred twenty-six million, fifty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 389 504 778 1153 1167 1556 2306 2334 2723 3112 3459 3501 4612 4668 5446 6918 7002 8071 8169 9224 9336 10377 10892 13836 14004 16142 16338 20754 21784 24213 24507 27672 28008 32284 32676 41508 48426 49014 64568 65352 72639 83016 96852 98028 145278 193704 196056 290556 448517 581112 897034 1345551 1794068 2691102 3139619 3588136 4036653 5382204 6279238 8073306 9418857 10764408 12558476 16146612 18837714 25116952 28256571 32293224 37675428 56513142 75350856 113026284 226052568