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228326340 = 223511457757
BaseRepresentation
bin11011001101111…
…11101111000100
3120220122011212010
431212333233010
5431422420330
634353454220
75441512314
oct1546775704
9526564763
10228326340
1110797aa60
1264571370
13383c4558
1422477444
15150a23b0
hexd9bfbc4

228326340 has 96 divisors (see below), whose sum is σ = 699882624. Its totient is φ = 55157760.

The previous prime is 228326327. The next prime is 228326369. The reversal of 228326340 is 43623822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 228326298 and 228326307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301242 + ... + 301998.

It is an arithmetic number, because the mean of its divisors is an integer number (7290444).

Almost surely, 2228326340 is an apocalyptic number.

228326340 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 228326340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349941312).

228326340 is an abundant number, since it is smaller than the sum of its proper divisors (471556284).

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

228326340 is a wasteful number, since it uses less digits than its factorization.

228326340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 228326340 is about 15110.4712037712. The cubic root of 228326340 is about 611.2028045578.

The spelling of 228326340 in words is "two hundred twenty-eight million, three hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 457 660 757 914 1371 1514 1828 2271 2285 2742 3028 3785 4542 4570 5027 5484 6855 7570 8327 9084 9140 10054 11355 13710 15081 15140 16654 20108 22710 24981 25135 27420 30162 33308 41635 45420 49962 50270 60324 75405 83270 99924 100540 124905 150810 166540 249810 301620 345949 499620 691898 1037847 1383796 1729745 2075694 3459490 3805439 4151388 5189235 6918980 7610878 10378470 11416317 15221756 19027195 20756940 22832634 38054390 45665268 57081585 76108780 114163170 228326340