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226436064 = 2533676427
BaseRepresentation
bin11010111111100…
…10001111100000
3120210002010212220
431133302033200
5430431423224
634245151040
75416450311
oct1537621740
9523063786
10226436064
111068a9848
12639bb480
1337bb204a
1422104608
1514d2c279
hexd7f23e0

226436064 has 48 divisors (see below), whose sum is σ = 596107008. Its totient is φ = 75261312.

The previous prime is 226436057. The next prime is 226436069. The reversal of 226436064 is 460634622.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226436069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32019 + ... + 38445.

It is an arithmetic number, because the mean of its divisors is an integer number (12418896).

Almost surely, 2226436064 is an apocalyptic number.

226436064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226436064 is an abundant number, since it is smaller than the sum of its proper divisors (369670944).

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

226436064 is a wasteful number, since it uses less digits than its factorization.

226436064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807 (or 6799 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 226436064 is about 15047.7926620485. The cubic root of 226436064 is about 609.5114461375.

The spelling of 226436064 in words is "two hundred twenty-six million, four hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 367 734 1101 1468 2202 2936 4404 5872 6427 8808 11744 12854 17616 19281 25708 35232 38562 51416 77124 102832 154248 205664 308496 616992 2358709 4717418 7076127 9434836 14152254 18869672 28304508 37739344 56609016 75478688 113218032 226436064