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226974564 = 22328970841
BaseRepresentation
bin11011000011101…
…01101101100100
3120211002111120100
431201311231210
5431101141224
634304504100
75424152265
oct1541655544
9524074510
10226974564
11107137393
126401b030
133804019b
142220496c
1514dd6ac9
hexd875b64

226974564 has 36 divisors (see below), whose sum is σ = 580195980. Its totient is φ = 74807040.

The previous prime is 226974563. The next prime is 226974571. The reversal of 226974564 is 465479622.

226974564 is a `hidden beast` number, since 22 + 69 + 7 + 4 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74649600 + 152324964 = 8640^2 + 12342^2 .

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

It is not an unprimeable number, because it can be changed into a prime (226974563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32217 + ... + 38624.

It is an arithmetic number, because the mean of its divisors is an integer number (16116555).

Almost surely, 2226974564 is an apocalyptic number.

It is an amenable number.

226974564 is an abundant number, since it is smaller than the sum of its proper divisors (353221416).

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

226974564 is a wasteful number, since it uses less digits than its factorization.

226974564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70940 (or 70935 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 226974564 is about 15065.6750263637. The cubic root of 226974564 is about 609.9942344703.

It can be divided in two parts, 22697 and 4564, that added together give a triangular number (27261 = T233).

The spelling of 226974564 in words is "two hundred twenty-six million, nine hundred seventy-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 70841 141682 212523 283364 425046 637569 850092 1275138 2550276 6304849 12609698 18914547 25219396 37829094 56743641 75658188 113487282 226974564