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226046656 = 2611547587
BaseRepresentation
bin11010111100100…
…11001011000000
3120202100100201101
431132103023000
5430331443111
634232544144
75413236103
oct1536231300
9522310641
10226046656
11106663220
1263852054
1337aa6a24
142204273a
1514ca1bc1
hexd7932c0

226046656 has 56 divisors (see below), whose sum is σ = 491069376. Its totient is φ = 102385920.

The previous prime is 226046647. The next prime is 226046713. The reversal of 226046656 is 656640622.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 384795 + ... + 385381.

It is an arithmetic number, because the mean of its divisors is an integer number (8769096).

Almost surely, 2226046656 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 226046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245534688).

226046656 is an abundant number, since it is smaller than the sum of its proper divisors (265022720).

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

226046656 is a wasteful number, since it uses less digits than its factorization.

226046656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 226046656 is about 15034.8480537716. The cubic root of 226046656 is about 609.1618480841.

The spelling of 226046656 in words is "two hundred twenty-six million, forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 547 587 704 1094 1174 2188 2348 4376 4696 6017 6457 8752 9392 12034 12914 17504 18784 24068 25828 35008 37568 48136 51656 96272 103312 192544 206624 321089 385088 413248 642178 1284356 2568712 3531979 5137424 7063958 10274848 14127916 20549696 28255832 56511664 113023328 226046656