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228888576 = 212327887
BaseRepresentation
bin11011010010010…
…01000000000000
3120221200202002200
431221021000000
5432043413301
634413513200
75446343430
oct1551110000
9527622080
10228888576
11108224414
12647a2800
1338560437
14225822c0
1515163c86
hexda49000

228888576 has 156 divisors (see below), whose sum is σ = 756455232. Its totient is φ = 65323008.

The previous prime is 228888559. The next prime is 228888589. The reversal of 228888576 is 675888822.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257605 + ... + 258491.

It is an arithmetic number, because the mean of its divisors is an integer number (4849072).

Almost surely, 2228888576 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 228888576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378227616).

228888576 is an abundant number, since it is smaller than the sum of its proper divisors (527566656).

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

228888576 is an equidigital number, since it uses as much as digits as its factorization.

228888576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 899 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 228888576 is about 15129.0639498946. The cubic root of 228888576 is about 611.7040732576.

The spelling of 228888576 in words is "two hundred twenty-eight million, eight hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 887 896 1008 1024 1152 1344 1536 1774 1792 2016 2048 2304 2661 2688 3072 3548 3584 4032 4096 4608 5322 5376 6144 6209 7096 7168 7983 8064 9216 10644 10752 12288 12418 14192 14336 15966 16128 18432 18627 21288 21504 24836 28384 28672 31932 32256 36864 37254 42576 43008 49672 55881 56768 63864 64512 74508 85152 86016 99344 111762 113536 127728 129024 149016 170304 198688 223524 227072 255456 258048 298032 340608 397376 447048 454144 510912 596064 681216 794752 894096 908288 1021824 1192128 1362432 1589504 1788192 1816576 2043648 2384256 2724864 3179008 3576384 3633152 4087296 4768512 5449728 6358016 7152768 8174592 9537024 10899456 12716032 14305536 16349184 19074048 25432064 28611072 32698368 38148096 57222144 76296192 114444288 228888576