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228708180 = 223251578093
BaseRepresentation
bin11011010000111…
…00111101010100
3120221100120122100
431220130331110
5432022130210
634410002100
75444662461
oct1550347524
9527316570
10228708180
11108110928
1264716330
13384c92ac
1422536668
151512a5c0
hexda1cf54

228708180 has 72 divisors (see below), whose sum is σ = 698253192. Its totient is φ = 60592896.

The previous prime is 228708133. The next prime is 228708199. The reversal of 228708180 is 81807822.

228708180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7650756 + 221057424 = 2766^2 + 14868^2 .

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

It is a congruent number.

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, 24214 + ... + 32306.

It is an arithmetic number, because the mean of its divisors is an integer number (9697961).

Almost surely, 2228708180 is an apocalyptic number.

228708180 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 228708180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349126596).

228708180 is an abundant number, since it is smaller than the sum of its proper divisors (469545012).

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

228708180 is a wasteful number, since it uses less digits than its factorization.

228708180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 228708180 is about 15123.1008725063. The cubic root of 228708180 is about 611.5433284202.

The spelling of 228708180 in words is "two hundred twenty-eight million, seven hundred eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 8093 9420 14130 16186 24279 28260 32372 40465 48558 72837 80930 97116 121395 145674 161860 242790 291348 364185 485580 728370 1270601 1456740 2541202 3811803 5082404 6353005 7623606 11435409 12706010 15247212 19059015 22870818 25412020 38118030 45741636 57177045 76236060 114354090 228708180