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226576764 = 22344191669
BaseRepresentation
bin11011000000101…
…00100101111100
3120210100021220000
431200110211330
5431000424024
634252154300
75420604441
oct1540244574
9523307800
10226576764
11106995527
1263a68990
1337c310bb
142213d9c8
1514d58cc9
hexd81497c

226576764 has 60 divisors (see below), whose sum is σ = 594085800. Its totient is φ = 75300192.

The previous prime is 226576741. The next prime is 226576787. The reversal of 226576764 is 467675622.

226576764 is a `hidden beast` number, since 2 + 2 + 6 + 576 + 76 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (226576741) and next prime (226576787).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134922 + ... + 136590.

It is an arithmetic number, because the mean of its divisors is an integer number (9901430).

Almost surely, 2226576764 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 226576764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297042900).

226576764 is an abundant number, since it is smaller than the sum of its proper divisors (367509036).

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

226576764 is a wasteful number, since it uses less digits than its factorization.

226576764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2093 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 226576764 is about 15052.4670403227. The cubic root of 226576764 is about 609.6376635233.

The spelling of 226576764 in words is "two hundred twenty-six million, five hundred seventy-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 419 838 1257 1669 1676 2514 3338 3771 5007 5028 6676 7542 10014 11313 15021 15084 20028 22626 30042 33939 45063 45252 60084 67878 90126 135189 135756 180252 270378 540756 699311 1398622 2097933 2797244 4195866 6293799 8391732 12587598 18881397 25175196 37762794 56644191 75525588 113288382 226576764