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228873312 = 25321746747
BaseRepresentation
bin11011010010001…
…01010001100000
3120221122222011100
431221011101200
5432042421222
634413314400
75446251063
oct1551052140
9527588140
10228873312
111082139a8
1264795a00
13385564c5
142257a8da
151515e4ac
hexda45460

228873312 has 72 divisors (see below), whose sum is σ = 689159016. Its totient is φ = 71801856.

The previous prime is 228873301. The next prime is 228873317. The reversal of 228873312 is 213378822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228873317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18478 + ... + 28269.

It is an arithmetic number, because the mean of its divisors is an integer number (9571653).

Almost surely, 2228873312 is an apocalyptic number.

It is an amenable number.

228873312 is an abundant number, since it is smaller than the sum of its proper divisors (460285704).

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

228873312 is a wasteful number, since it uses less digits than its factorization.

228873312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46780 (or 46769 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 228873312 is about 15128.5594819864. The cubic root of 228873312 is about 611.6904752897.

The spelling of 228873312 in words is "two hundred twenty-eight million, eight hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 46747 93494 140241 186988 280482 373976 420723 560964 747952 794699 841446 1121928 1495904 1589398 1682892 2243856 2384097 3178796 3365784 4487712 4768194 6357592 6731568 7152291 9536388 12715184 13463136 14304582 19072776 25430368 28609164 38145552 57218328 76291104 114436656 228873312