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226609656 = 2337131943127
BaseRepresentation
bin11011000000111…
…00100111111000
3120210101222000020
431200130213320
5431003002111
634253010440
75421102360
oct1540344770
9523358006
10226609656
11106a08209
1263a83a20
1337c43070
142214b9a0
1514d63906
hexd81c9f8

226609656 has 256 divisors, whose sum is σ = 756940800. Its totient is φ = 54867456.

The previous prime is 226609633. The next prime is 226609657. The reversal of 226609656 is 656906622.

226609656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226609657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1784265 + ... + 1784391.

It is an arithmetic number, because the mean of its divisors is an integer number (2956800).

Almost surely, 2226609656 is an apocalyptic number.

226609656 is a gapful number since it is divisible by the number (26) 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 226609656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378470400).

226609656 is an abundant number, since it is smaller than the sum of its proper divisors (530331144).

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

226609656 is a wasteful number, since it uses less digits than its factorization.

226609656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 226609656 is about 15053.5595790497. The cubic root of 226609656 is about 609.6671623289.

The spelling of 226609656 in words is "two hundred twenty-six million, six hundred nine thousand, six hundred fifty-six".