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228716832 = 25319373389
BaseRepresentation
bin11011010000111…
…11000100100000
3120221101000111210
431220133010200
5432022414312
634410110120
75445026631
oct1550370440
9527330453
10228716832
11108117383
126471b340
1338500206
1422539888
151512ce3c
hexda1f120

228716832 has 96 divisors (see below), whose sum is σ = 649252800. Its totient is φ = 70253568.

The previous prime is 228716767. The next prime is 228716837. The reversal of 228716832 is 238617822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2287168322 = 104622778480232448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228716837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65794 + ... + 69182.

It is an arithmetic number, because the mean of its divisors is an integer number (6763050).

Almost surely, 2228716832 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 228716832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324626400).

228716832 is an abundant number, since it is smaller than the sum of its proper divisors (420535968).

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

228716832 is a wasteful number, since it uses less digits than its factorization.

228716832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3450 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 228716832 is about 15123.3869222473. The cubic root of 228716832 is about 611.5510398572.

The spelling of 228716832 in words is "two hundred twenty-eight million, seven hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 74 76 96 111 114 148 152 222 228 296 304 444 456 592 608 703 888 912 1184 1406 1776 1824 2109 2812 3389 3552 4218 5624 6778 8436 10167 11248 13556 16872 20334 22496 27112 33744 40668 54224 64391 67488 81336 108448 125393 128782 162672 193173 250786 257564 325344 376179 386346 501572 515128 752358 772692 1003144 1030256 1504716 1545384 2006288 2060512 2382467 3009432 3090768 4012576 4764934 6018864 6181536 7147401 9529868 12037728 14294802 19059736 28589604 38119472 57179208 76238944 114358416 228716832