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226435338 = 2343721021
BaseRepresentation
bin11010111111100…
…10000100001010
3120210002002220000
431133302010022
5430431412323
634245143430
75416445223
oct1537620412
9523062800
10226435338
111068a9248
12639bab76
1337bb190c
142210424a
1514d2be43
hexd7f210a

226435338 has 60 divisors (see below), whose sum is σ = 521977302. Its totient is φ = 73366560.

The previous prime is 226435327. The next prime is 226435343. The reversal of 226435338 is 833534622.

It is a happy number.

226435338 is a `hidden beast` number, since 2 + 2 + 643 + 5 + 3 + 3 + 8 = 666.

226435338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 224011089 + 2424249 = 14967^2 + 1557^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 221268 + ... + 222288.

Almost surely, 2226435338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226435338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260988651).

226435338 is an abundant number, since it is smaller than the sum of its proper divisors (295541964).

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

226435338 is a wasteful number, since it uses less digits than its factorization.

226435338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1063 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 226435338 is about 15047.7685388897. The cubic root of 226435338 is about 609.5107947310.

The spelling of 226435338 in words is "two hundred twenty-six million, four hundred thirty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1021 1369 1998 2042 2738 2997 3063 4107 5994 6126 8214 9189 12321 18378 24642 27567 36963 37777 55134 73926 75554 82701 110889 113331 165402 221778 226662 339993 679986 1019979 1397749 2039958 2795498 3059937 4193247 6119874 8386494 12579741 25159482 37739223 75478446 113217669 226435338