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226748676 = 223721123187
BaseRepresentation
bin11011000001111…
…10100100000100
3120210200000201010
431200332210010
5431021424201
634300002220
75422221600
oct1540764404
9523600633
10226748676
11106aa2700
1263b30370
1337c9141b
1422186500
1514d8ebd6
hexd83e904

226748676 has 108 divisors (see below), whose sum is σ = 676710384. Its totient is φ = 58877280.

The previous prime is 226748659. The next prime is 226748689. The reversal of 226748676 is 676847622.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69555 + ... + 72741.

Almost surely, 2226748676 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 226748676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338355192).

226748676 is an abundant number, since it is smaller than the sum of its proper divisors (449961708).

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

226748676 is a wasteful number, since it uses less digits than its factorization.

226748676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3210 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 226748676 is about 15058.1763836130. The cubic root of 226748676 is about 609.7918092723.

The spelling of 226748676 in words is "two hundred twenty-six million, seven hundred forty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 1078 1452 1617 1694 2156 2541 3187 3234 3388 5082 5929 6374 6468 9561 10164 11858 12748 17787 19122 22309 23716 35057 35574 38244 44618 66927 70114 71148 89236 105171 133854 140228 156163 210342 245399 267708 312326 385627 420684 468489 490798 624652 736197 771254 936978 981596 1156881 1472394 1542508 1717793 1873956 2313762 2699389 2944788 3435586 4627524 5153379 5398778 6871172 8098167 10306758 10797556 16196334 18895723 20613516 32392668 37791446 56687169 75582892 113374338 226748676