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226546290 = 232515716033
BaseRepresentation
bin11011000000011…
…01001001110010
3120210021202002100
431200031021302
5430443440130
634251401230
75420416545
oct1540151162
9523252070
10226546290
11106974643
1263a53216
1337c20279
142213285c
1514d4ec60
hexd80d272

226546290 has 48 divisors (see below), whose sum is σ = 592809048. Its totient is φ = 60023808.

The previous prime is 226546277. The next prime is 226546321. The reversal of 226546290 is 92645622.

226546290 is a `hidden beast` number, since 2 + 26 + 5 + 4 + 629 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79869969 + 146676321 = 8937^2 + 12111^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6114 + ... + 22146.

Almost surely, 2226546290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226546290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296404524).

226546290 is an abundant number, since it is smaller than the sum of its proper divisors (366262758).

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

226546290 is a wasteful number, since it uses less digits than its factorization.

226546290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16203 (or 16200 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 226546290 is about 15051.4547469672. The cubic root of 226546290 is about 609.6103307248.

The spelling of 226546290 in words is "two hundred twenty-six million, five hundred forty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 14130 16033 32066 48099 80165 96198 144297 160330 240495 288594 480990 721485 1442970 2517181 5034362 7551543 12585905 15103086 22654629 25171810 37757715 45309258 75515430 113273145 226546290