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226825704 = 23337229739
BaseRepresentation
bin11011000010100…
…01010111101000
3120210210221101000
431201101113220
5431031410304
634301355000
75422662300
oct1541212750
9523727330
10226825704
11107045566
1263b68a60
1337cba4c1
14221a6600
1514da7939
hexd8515e8

226825704 has 192 divisors, whose sum is σ = 759240000. Its totient is φ = 62487936.

The previous prime is 226825681. The next prime is 226825721. The reversal of 226825704 is 407528622.

226825704 is a `hidden beast` number, since 2 + 2 + 6 + 82 + 570 + 4 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306567 + ... + 307305.

It is an arithmetic number, because the mean of its divisors is an integer number (3954375).

Almost surely, 2226825704 is an apocalyptic number.

226825704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226825704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379620000).

226825704 is an abundant number, since it is smaller than the sum of its proper divisors (532414296).

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

226825704 is a wasteful number, since it uses less digits than its factorization.

226825704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 226825704 is about 15060.7338466623. The cubic root of 226825704 is about 609.8608515361.

It can be divided in two parts, 226825 and 704, that added together give a square (227529 = 4772).

The spelling of 226825704 in words is "two hundred twenty-six million, eight hundred twenty-five thousand, seven hundred four".