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228872310 = 23523409811
BaseRepresentation
bin11011010010001…
…01000001110110
3120221122220210020
431221011001312
5432042403220
634413310010
75446245132
oct1551050166
9527586706
10228872310
11108213177
1264795306
1338555c04
142257a3c2
151515e040
hexda45076

228872310 has 64 divisors (see below), whose sum is σ = 575285760. Its totient is φ = 58164480.

The previous prime is 228872299. The next prime is 228872339. The reversal of 228872310 is 13278822.

It is a super-2 number, since 2×2288723102 = 104765068569472200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281805 + ... + 282615.

It is an arithmetic number, because the mean of its divisors is an integer number (8988840).

Almost surely, 2228872310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228872310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287642880).

228872310 is an abundant number, since it is smaller than the sum of its proper divisors (346413450).

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

228872310 is a wasteful number, since it uses less digits than its factorization.

228872310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 228872310 is about 15128.5263657767. The cubic root of 228872310 is about 611.6895826346.

The spelling of 228872310 in words is "two hundred twenty-eight million, eight hundred seventy-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 409 690 811 818 1227 1622 2045 2433 2454 4055 4090 4866 6135 8110 9407 12165 12270 18653 18814 24330 28221 37306 47035 55959 56442 93265 94070 111918 141105 186530 279795 282210 331699 559590 663398 995097 1658495 1990194 3316990 4975485 7629077 9950970 15258154 22887231 38145385 45774462 76290770 114436155 228872310