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228023712 = 25327195953
BaseRepresentation
bin11011001011101…
…01110110100000
3120220001210201200
431211311312200
5431333224322
634343201200
75436112110
oct1545656640
9526053650
10228023712
11107793654
1264446200
1338319897
14223d9040
15150428ac
hexd975da0

228023712 has 144 divisors (see below), whose sum is σ = 780212160. Its totient is φ = 61710336.

The previous prime is 228023707. The next prime is 228023729. The reversal of 228023712 is 217320822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35328 + ... + 41280.

It is an arithmetic number, because the mean of its divisors is an integer number (5418140).

Almost surely, 2228023712 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 228023712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390106080).

228023712 is an abundant number, since it is smaller than the sum of its proper divisors (552188448).

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

228023712 is a wasteful number, since it uses less digits than its factorization.

228023712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5995 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 228023712 is about 15100.4540329091. The cubic root of 228023712 is about 610.9326519593.

The spelling of 228023712 in words is "two hundred twenty-eight million, twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 5953 6384 9576 11906 12768 17859 19152 23812 35718 38304 41671 47624 53577 71436 83342 95248 107154 113107 125013 142872 166684 190496 214308 226214 250026 285744 333368 339321 375039 428616 452428 500052 571488 666736 678642 750078 791749 857232 904856 1000104 1017963 1333472 1357284 1500156 1583498 1714464 1809712 2000208 2035926 2375247 2714568 3000312 3166996 3619424 4000416 4071852 4750494 5429136 6000624 6333992 7125741 8143704 9500988 10858272 12001248 12667984 14251482 16287408 19001976 25335968 28502964 32574816 38003952 57005928 76007904 114011856 228023712