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228712960 = 295712763
BaseRepresentation
bin11011010000111…
…10001000000000
3120221100211012101
431220132020000
5432022303320
634410040144
75445012430
oct1550361000
9527324171
10228712960
11108114483
1264719054
13384cb518
14225382c0
151512bc0a
hexda1e200

228712960 has 80 divisors (see below), whose sum is σ = 626763456. Its totient is φ = 78409728.

The previous prime is 228712949. The next prime is 228712987. The reversal of 228712960 is 69217822.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11539 + ... + 24301.

Almost surely, 2228712960 is an apocalyptic number.

228712960 is a gapful number since it is divisible by the number (20) 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 228712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313381728).

228712960 is an abundant number, since it is smaller than the sum of its proper divisors (398050496).

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

228712960 is an equidigital number, since it uses as much as digits as its factorization.

228712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12793 (or 12777 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 228712960 is about 15123.2589080529. The cubic root of 228712960 is about 611.5475888081.

The spelling of 228712960 in words is "two hundred twenty-eight million, seven hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 12763 17920 25526 51052 63815 89341 102104 127630 178682 204208 255260 357364 408416 446705 510520 714728 816832 893410 1021040 1429456 1633664 1786820 2042080 2858912 3267328 3573640 4084160 5717824 6534656 7147280 8168320 11435648 14294560 16336640 22871296 28589120 32673280 45742592 57178240 114356480 228712960