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228714408 = 233313471733
BaseRepresentation
bin11011010000111…
…10011110101000
3120221100220012000
431220132132220
5432022330113
634410051000
75445016566
oct1550363650
9527326160
10228714408
1110811557a
1264719a60
13384cc090
1422538a36
151512c373
hexda1e7a8

228714408 has 128 divisors (see below), whose sum is σ = 699148800. Its totient is φ = 68836608.

The previous prime is 228714403. The next prime is 228714433. The reversal of 228714408 is 804417822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (228714403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131110 + ... + 132842.

It is an arithmetic number, because the mean of its divisors is an integer number (5462100).

Almost surely, 2228714408 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 228714408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349574400).

228714408 is an abundant number, since it is smaller than the sum of its proper divisors (470434392).

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

228714408 is a wasteful number, since it uses less digits than its factorization.

228714408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 228714408 is about 15123.3067812565. The cubic root of 228714408 is about 611.5488793909.

The spelling of 228714408 in words is "two hundred twenty-eight million, seven hundred fourteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 47 52 54 72 78 94 104 108 117 141 156 188 216 234 282 312 351 376 423 468 564 611 702 846 936 1128 1222 1269 1404 1692 1733 1833 2444 2538 2808 3384 3466 3666 4888 5076 5199 5499 6932 7332 10152 10398 10998 13864 14664 15597 16497 20796 21996 22529 31194 32994 41592 43992 45058 46791 62388 65988 67587 81451 90116 93582 124776 131976 135174 162902 180232 187164 202761 244353 270348 325804 374328 405522 488706 540696 608283 651608 733059 811044 977412 1058863 1216566 1466118 1622088 1954824 2117726 2199177 2433132 2932236 3176589 4235452 4398354 4866264 5864472 6353178 8470904 8796708 9529767 12706356 17593416 19059534 25412712 28589301 38119068 57178602 76238136 114357204 228714408