Search a number
-
+
226256364 = 223253118583
BaseRepresentation
bin11010111110001…
…10010111101100
3120202202000101100
431133012113230
5430410200424
634241243100
75415101355
oct1537062754
9522660340
10226256364
11106796834
1263933490
1337b4b309
1422098d2c
1514ce3dc9
hexd7c65ec

226256364 has 36 divisors (see below), whose sum is σ = 582721776. Its totient is φ = 73995168.

The previous prime is 226256357. The next prime is 226256399. The reversal of 226256364 is 463652622.

226256364 is a `hidden beast` number, since 22 + 625 + 6 + 3 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57384 + ... + 61199.

It is an arithmetic number, because the mean of its divisors is an integer number (16186716).

Almost surely, 2226256364 is an apocalyptic number.

It is an amenable number.

226256364 is an abundant number, since it is smaller than the sum of its proper divisors (356465412).

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

226256364 is a wasteful number, since it uses less digits than its factorization.

226256364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118646 (or 118641 counting only the distinct ones).

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

The square root of 226256364 is about 15041.8205015217. The cubic root of 226256364 is about 609.3501670669.

The spelling of 226256364 in words is "two hundred twenty-six million, two hundred fifty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 118583 237166 355749 474332 711498 1067247 1422996 2134494 4268988 6284899 12569798 18854697 25139596 37709394 56564091 75418788 113128182 226256364