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228755826 = 231013149
BaseRepresentation
bin11011010001010…
…00100101110010
3120221110000000000
431220220211302
5432030141301
634411010430
75445251415
oct1550504562
9527400000
10228755826
11108143702
1264739a16
1338514ba0
1422549b7c
1515139786
hexda28972

228755826 has 88 divisors (see below), whose sum is σ = 558009900. Its totient is φ = 69914016.

The previous prime is 228755777. The next prime is 228755827. The reversal of 228755826 is 628557822.

It can be written as a sum of positive squares in 2 ways, for example, as 191850201 + 36905625 = 13851^2 + 6075^2 .

It is not an unprimeable number, because it can be changed into a prime (228755827) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 1535200 + ... + 1535348.

Almost surely, 2228755826 is an apocalyptic number.

228755826 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 228755826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279004950).

228755826 is an abundant number, since it is smaller than the sum of its proper divisors (329254074).

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

228755826 is an equidigital number, since it uses as much as digits as its factorization.

228755826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 228755826 is about 15124.6760626468. The cubic root of 228755826 is about 611.5857923878.

The spelling of 228755826 in words is "two hundred twenty-eight million, seven hundred fifty-five thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 149 162 234 243 298 351 447 486 702 729 894 1053 1341 1458 1937 2106 2187 2682 3159 3874 4023 4374 5811 6318 6561 8046 9477 11622 12069 13122 17433 18954 19683 24138 28431 34866 36207 39366 52299 56862 59049 72414 85293 104598 108621 118098 156897 170586 217242 255879 313794 325863 470691 511758 651726 767637 941382 977589 1412073 1535274 1955178 2824146 2932767 4236219 5865534 8472438 8798301 12708657 17596602 25417314 38125971 76251942 114377913 228755826