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228315186 = 23411314133
BaseRepresentation
bin11011001101111…
…01000000110010
3120220121121120000
431212331000302
5431422041221
634353330430
75441434641
oct1546750062
9526547500
10228315186
11107972640
1264566a16
13383bc458
1422473358
151509de26
hexd9bd032

228315186 has 80 divisors (see below), whose sum is σ = 576246528. Its totient is φ = 66938400.

The previous prime is 228315179. The next prime is 228315203. The reversal of 228315186 is 681513822.

It is a happy number.

228315186 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 228315186.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53176 + ... + 57308.

Almost surely, 2228315186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228315186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288123264).

228315186 is an abundant number, since it is smaller than the sum of its proper divisors (347931342).

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

228315186 is a wasteful number, since it uses less digits than its factorization.

228315186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4180 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 228315186 is about 15110.1021174577. The cubic root of 228315186 is about 611.1928517462.

The spelling of 228315186 in words is "two hundred twenty-eight million, three hundred fifteen thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 279 297 341 558 594 682 837 891 1023 1674 1782 2046 2511 3069 4133 5022 6138 8266 9207 12399 18414 24798 27621 37197 45463 55242 74394 90926 111591 128123 136389 223182 256246 272778 334773 384369 409167 669546 768738 818334 1153107 1227501 1409353 2306214 2455002 2818706 3459321 3682503 4228059 6918642 7365006 8456118 10377963 12684177 20755926 25368354 38052531 76105062 114157593 228315186