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226171656 = 23331377643
BaseRepresentation
bin11010111101100…
…01101100001000
3120202120201012000
431132301230020
5430344443111
634235351000
75414266404
oct1536615410
9522521160
10226171656
11106739127
12638b2460
1337b1b8a9
1422076104
1514cc8c56
hexd7b1b08

226171656 has 64 divisors (see below), whose sum is σ = 632923200. Its totient is φ = 74830464.

The previous prime is 226171637. The next prime is 226171657. The reversal of 226171656 is 656171622.

It is a happy number.

226171656 is a `hidden beast` number, since 22 + 617 + 16 + 5 + 6 = 666.

226171656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226171656.

It is not an unprimeable number, because it can be changed into a prime (226171657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25771 + ... + 33413.

It is an arithmetic number, because the mean of its divisors is an integer number (9889425).

Almost surely, 2226171656 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 226171656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316461600).

226171656 is an abundant number, since it is smaller than the sum of its proper divisors (406751544).

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

226171656 is a wasteful number, since it uses less digits than its factorization.

226171656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795 (or 7785 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 226171656 is about 15039.0044883297. The cubic root of 226171656 is about 609.2741128130.

The spelling of 226171656 in words is "two hundred twenty-six million, one hundred seventy-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 548 822 1096 1233 1644 2466 3288 3699 4932 7398 7643 9864 14796 15286 22929 29592 30572 45858 61144 68787 91716 137574 183432 206361 275148 412722 550296 825444 1047091 1650888 2094182 3141273 4188364 6282546 8376728 9423819 12565092 18847638 25130184 28271457 37695276 56542914 75390552 113085828 226171656