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226540808 = 231329312423
BaseRepresentation
bin11011000000010…
…11110100001000
3120210021110120022
431200023310020
5430443301213
634251320012
75420364554
oct1540136410
9523243508
10226540808
1110697050a
1263a50008
1337c1a920
1422130864
1514d4d308
hexd80bd08

226540808 has 64 divisors (see below), whose sum is σ = 488678400. Its totient is φ = 97655040.

The previous prime is 226540801. The next prime is 226540877. The reversal of 226540808 is 808045622.

226540808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226540801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92285 + ... + 94707.

It is an arithmetic number, because the mean of its divisors is an integer number (7635600).

Almost surely, 2226540808 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 226540808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244339200).

226540808 is an abundant number, since it is smaller than the sum of its proper divisors (262137592).

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

226540808 is a wasteful number, since it uses less digits than its factorization.

226540808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 226540808 is about 15051.2726372224. The cubic root of 226540808 is about 609.6054135387.

The spelling of 226540808 in words is "two hundred twenty-six million, five hundred forty thousand, eight hundred eight".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 232 248 377 403 754 806 899 1508 1612 1798 2423 3016 3224 3596 4846 7192 9692 11687 19384 23374 31499 46748 62998 70267 75113 93496 125996 140534 150226 251992 281068 300452 562136 600904 913471 976469 1826942 1952938 2178277 3653884 3905876 4356554 7307768 7811752 8713108 17426216 28317601 56635202 113270404 226540808