Search a number
-
+
228455724 = 2237171571019
BaseRepresentation
bin11011001110111…
…11010100101100
3120220212202100010
431213133110230
5431441040344
634400333220
75442561450
oct1547372454
9526782303
10228455724
11107a59192
1264614210
133843b403
14224ac660
15150ca8b9
hexd9df52c

228455724 has 96 divisors (see below), whose sum is σ = 649797120. Its totient is φ = 60982272.

The previous prime is 228455719. The next prime is 228455743. The reversal of 228455724 is 427554822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223687 + ... + 224705.

It is an arithmetic number, because the mean of its divisors is an integer number (6768720).

Almost surely, 2228455724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228455724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324898560).

228455724 is an abundant number, since it is smaller than the sum of its proper divisors (421341396).

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

228455724 is a wasteful number, since it uses less digits than its factorization.

228455724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its digits is 179200, while the sum is 39.

The square root of 228455724 is about 15114.7518669676. The cubic root of 228455724 is about 611.3182313502.

The spelling of 228455724 in words is "two hundred twenty-eight million, four hundred fifty-five thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 157 204 238 314 357 471 476 628 714 942 1019 1099 1428 1884 2038 2198 2669 3057 3297 4076 4396 5338 6114 6594 7133 8007 10676 12228 13188 14266 16014 17323 18683 21399 28532 32028 34646 37366 42798 51969 56049 69292 74732 85596 103938 112098 121261 159983 207876 224196 242522 319966 363783 479949 485044 639932 727566 959898 1119881 1455132 1919796 2239762 2719711 3359643 4479524 5439422 6719286 8159133 10878844 13438572 16318266 19037977 32636532 38075954 57113931 76151908 114227862 228455724