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228466056 = 233713731433
BaseRepresentation
bin11011001111000…
…01110110001000
3120220220021111210
431213201312020
5431441403211
634400453120
75442633540
oct1547416610
9526807453
10228466056
11107a65a25
126461a1a0
1338443020
14224b2320
15150cd9a6
hexd9e1d88

228466056 has 128 divisors (see below), whose sum is σ = 713099520. Its totient is φ = 59387904.

The previous prime is 228466039. The next prime is 228466067. The reversal of 228466056 is 650664822.

228466056 is digitally balanced in base 2, 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158716 + ... + 160148.

It is an arithmetic number, because the mean of its divisors is an integer number (5571090).

Almost surely, 2228466056 is an apocalyptic number.

228466056 is a gapful number since it is divisible by the number (26) 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 228466056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356549760).

228466056 is an abundant number, since it is smaller than the sum of its proper divisors (484633464).

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

228466056 is a wasteful number, since it uses less digits than its factorization.

228466056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 228466056 is about 15115.0936484032. The cubic root of 228466056 is about 611.3274469138.

The spelling of 228466056 in words is "two hundred twenty-eight million, four hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 73 78 84 91 104 146 156 168 182 219 273 292 312 364 438 511 546 584 728 876 949 1022 1092 1433 1533 1752 1898 2044 2184 2847 2866 3066 3796 4088 4299 5694 5732 6132 6643 7592 8598 10031 11388 11464 12264 13286 17196 18629 19929 20062 22776 26572 30093 34392 37258 39858 40124 53144 55887 60186 74516 79716 80248 104609 111774 120372 130403 149032 159432 209218 223548 240744 260806 313827 391209 418436 447096 521612 627654 732263 782418 836872 1043224 1255308 1359917 1464526 1564836 2196789 2510616 2719834 2929052 3129672 4079751 4393578 5439668 5858104 8159502 8787156 9519419 10879336 16319004 17574312 19038838 28558257 32638008 38077676 57116514 76155352 114233028 228466056