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226081464 = 23375325391
BaseRepresentation
bin11010111100110…
…11101010111000
3120202102010110120
431132123222320
5430334101324
634233413240
75413442430
oct1536335270
9522363416
10226081464
11106687394
126386a220
1337ab981b
14220512c0
1514cac179
hexd79bab8

226081464 has 64 divisors (see below), whose sum is σ = 658160640. Its totient is φ = 63373440.

The previous prime is 226081447. The next prime is 226081469. The reversal of 226081464 is 464180622.

It is a super-2 number, since 2×2260814642 = 102225656728766592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226081469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3792 + ... + 21599.

It is an arithmetic number, because the mean of its divisors is an integer number (10283760).

Almost surely, 2226081464 is an apocalyptic number.

226081464 is a gapful number since it is divisible by the number (24) 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 226081464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329080320).

226081464 is an abundant number, since it is smaller than the sum of its proper divisors (432079176).

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

226081464 is a wasteful number, since it uses less digits than its factorization.

226081464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25460 (or 25456 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 226081464 is about 15036.0055865911. The cubic root of 226081464 is about 609.1931139265.

The spelling of 226081464 in words is "two hundred twenty-six million, eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904 25391 50782 76173 101564 152346 177737 203128 304692 355474 533211 609384 710948 1066422 1345723 1421896 2132844 2691446 4037169 4265688 5382892 8074338 9420061 10765784 16148676 18840122 28260183 32297352 37680244 56520366 75360488 113040732 226081464