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226580736 = 283312307
BaseRepresentation
bin11011000000101…
…01100100000000
3120210100111100010
431200111210000
5431001040421
634252224520
75420622144
oct1540254400
9523314303
10226580736
11106998508
1263a6b140
1337c32b55
1422141224
1514d5a076
hexd815900

226580736 has 108 divisors (see below), whose sum is σ = 625145136. Its totient is φ = 72852480.

The previous prime is 226580723. The next prime is 226580747. The reversal of 226580736 is 637085622.

It is a junction number, because it is equal to n+sod(n) for n = 226580694 and 226580703.

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, 737895 + ... + 738201.

Almost surely, 2226580736 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 226580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312572568).

226580736 is an abundant number, since it is smaller than the sum of its proper divisors (398564400).

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

226580736 is an equidigital number, since it uses as much as digits as its factorization.

226580736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 226580736 is about 15052.5989782496. The cubic root of 226580736 is about 609.6412259166.

The spelling of 226580736 in words is "two hundred twenty-six million, five hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 307 372 384 496 614 744 768 921 961 992 1228 1488 1842 1922 1984 2456 2883 2976 3684 3844 3968 4912 5766 5952 7368 7688 7936 9517 9824 11532 11904 14736 15376 19034 19648 23064 23808 28551 29472 30752 38068 39296 46128 57102 58944 61504 76136 78592 92256 114204 117888 123008 152272 184512 228408 235776 246016 295027 304544 369024 456816 590054 609088 738048 885081 913632 1180108 1218176 1770162 1827264 2360216 2436352 3540324 3654528 4720432 7080648 7309056 9440864 14161296 18881728 28322592 37763456 56645184 75526912 113290368 226580736