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226165056 = 26313192251
BaseRepresentation
bin11010111101100…
…00000101000000
3120202120101010120
431132300011000
5430344240211
634235300240
75414241225
oct1536600500
9522511116
10226165056
11106734177
12638aa680
1337b188a0
142207394c
1514cc6d06
hexd7b0140

226165056 has 168 divisors, whose sum is σ = 682837344. Its totient is φ = 65664000.

The previous prime is 226165019. The next prime is 226165073. The reversal of 226165056 is 650561622.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900931 + ... + 901181.

It is an arithmetic number, because the mean of its divisors is an integer number (4064508).

Almost surely, 2226165056 is an apocalyptic number.

226165056 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 226165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341418672).

226165056 is an abundant number, since it is smaller than the sum of its proper divisors (456672288).

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

226165056 is a wasteful number, since it uses less digits than its factorization.

226165056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 226165056 is about 15038.7850573110. The cubic root of 226165056 is about 609.2681862698.

It can be divided in two parts, 22616 and 5056, that added together give a palindrome (27672).

The spelling of 226165056 in words is "two hundred twenty-six million, one hundred sixty-five thousand, fifty-six".