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226056726 = 232711315877
BaseRepresentation
bin11010111100101…
…01101000010110
3120202100212112100
431132111220112
5430332303401
634233102530
75413310340
oct1536255026
9522325470
10226056726
1110666a845
1263857a46
1337aab49c
1422046290
1514ca4b86
hexd795a16

226056726 has 48 divisors (see below), whose sum is σ = 564748704. Its totient is φ = 64012032.

The previous prime is 226056709. The next prime is 226056731. The reversal of 226056726 is 627650622.

226056726 is a `hidden beast` number, since 22 + 605 + 6 + 7 + 26 = 666.

226056726 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260567262 = 102203286739678152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6300 + ... + 22176.

It is an arithmetic number, because the mean of its divisors is an integer number (11765598).

Almost surely, 2226056726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226056726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282374352).

226056726 is an abundant number, since it is smaller than the sum of its proper divisors (338691978).

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

226056726 is a wasteful number, since it uses less digits than its factorization.

226056726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16005 (or 16002 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 226056726 is about 15035.1829386942. The cubic root of 226056726 is about 609.1708936632.

The spelling of 226056726 in words is "two hundred twenty-six million, fifty-six thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1582 2034 2373 4746 7119 14238 15877 31754 47631 95262 111139 142893 222278 285786 333417 666834 1000251 1794101 2000502 3588202 5382303 10764606 12558707 16146909 25117414 32293818 37676121 75352242 113028363 226056726