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226009664 = 2683157271
BaseRepresentation
bin11010111100010…
…10001001000000
3120202021110222022
431132022021000
5430324302124
634232101012
75413023206
oct1536121100
9522243868
10226009664
11106638451
1263834768
1337a92c3a
1422033076
1514c95c5e
hexd78a240

226009664 has 56 divisors (see below), whose sum is σ = 458467968. Its totient is φ = 110522880.

The previous prime is 226009657. The next prime is 226009681. The reversal of 226009664 is 466900622.

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 7 ways as a sum of consecutive naturals, for example, 833849 + ... + 834119.

It is an arithmetic number, because the mean of its divisors is an integer number (8186928).

Almost surely, 2226009664 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 226009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229233984).

226009664 is an abundant number, since it is smaller than the sum of its proper divisors (232458304).

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

226009664 is a wasteful number, since it uses less digits than its factorization.

226009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 226009664 is about 15033.6177947958. The cubic root of 226009664 is about 609.1286169733.

The spelling of 226009664 in words is "two hundred twenty-six million, nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 83 157 166 271 314 332 542 628 664 1084 1256 1328 2168 2512 2656 4336 5024 5312 8672 10048 13031 17344 22493 26062 42547 44986 52124 85094 89972 104248 170188 179944 208496 340376 359888 416992 680752 719776 833984 1361504 1439552 2723008 3531401 7062802 14125604 28251208 56502416 113004832 226009664