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226595664 = 24334311217
BaseRepresentation
bin11011000000110…
…01001101010000
3120210101020211000
431200121031100
5431002030124
634252422000
75421013521
oct1540311520
9523336730
10226595664
111069a8749
1263a77900
1337c39899
1422146848
1514d5e6c9
hexd819350

226595664 has 80 divisors (see below), whose sum is σ = 652458240. Its totient is φ = 75294720.

The previous prime is 226595641. The next prime is 226595687. The reversal of 226595664 is 466595622.

It is a happy number.

226595664 is a `hidden beast` number, since 22 + 65 + 9 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (226595641) and next prime (226595687).

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 15 ways as a sum of consecutive naturals, for example, 185584 + ... + 186800.

It is an arithmetic number, because the mean of its divisors is an integer number (8155728).

Almost surely, 2226595664 is an apocalyptic number.

226595664 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 226595664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326229120).

226595664 is an abundant number, since it is smaller than the sum of its proper divisors (425862576).

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

226595664 is a wasteful number, since it uses less digits than its factorization.

226595664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1653 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 226595664 is about 15053.0948312963. The cubic root of 226595664 is about 609.6546141162.

The spelling of 226595664 in words is "two hundred twenty-six million, five hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 431 432 862 1217 1293 1724 2434 2586 3448 3651 3879 4868 5172 6896 7302 7758 9736 10344 10953 11637 14604 15516 19472 20688 21906 23274 29208 31032 32859 43812 46548 58416 62064 65718 87624 93096 131436 175248 186192 262872 524527 525744 1049054 1573581 2098108 3147162 4196216 4720743 6294324 8392432 9441486 12588648 14162229 18882972 25177296 28324458 37765944 56648916 75531888 113297832 226595664