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226484460 = 223256120627
BaseRepresentation
bin11010111111111…
…10000011101100
3120210011121021100
431133332003230
5430440000320
634250203100
75420041356
oct1537760354
9523147240
10226484460
11106932144
1263a23490
1337bcb097
14221180d6
1514d3b790
hexd7fe0ec

226484460 has 72 divisors (see below), whose sum is σ = 698299056. Its totient is φ = 59402880.

The previous prime is 226484429. The next prime is 226484501. The reversal of 226484460 is 64484622.

It is a happy number.

226484460 is a `hidden beast` number, since 2 + 2 + 648 + 4 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667 + ... + 21293.

It is an arithmetic number, because the mean of its divisors is an integer number (9698598).

Almost surely, 2226484460 is an apocalyptic number.

226484460 is a gapful number since it is divisible by the number (20) 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 226484460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349149528).

226484460 is an abundant number, since it is smaller than the sum of its proper divisors (471814596).

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

226484460 is a wasteful number, since it uses less digits than its factorization.

226484460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20703 (or 20698 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 226484460 is about 15049.4006525177. The cubic root of 226484460 is about 609.5548665099.

The spelling of 226484460 in words is "two hundred twenty-six million, four hundred eighty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 20627 41254 61881 82508 103135 123762 185643 206270 247524 309405 371286 412540 618810 742572 928215 1237620 1258247 1856430 2516494 3712860 3774741 5032988 6291235 7549482 11324223 12582470 15098964 18873705 22648446 25164940 37747410 45296892 56621115 75494820 113242230 226484460