226144800 has 324 divisors, whose sum is σ = 929085066. Its totient is φ = 51609600.

The previous prime is 226144759. The next prime is 226144819. The reversal of 226144800 is 8441622.

226144800 is a `hidden beast` number, since 2 + 2 + 614 + 48 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 206324496 + 19820304 = 14364^2 + 4452^2 .

It is a super-2 number, since 2×226144800² = 102282941134080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352480 + ... + 353120.

Almost surely, 2^226144800 is an apocalyptic number.

226144800 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 226144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464542533).

226144800 is an abundant number, since it is smaller than the sum of its proper divisors (702940266).

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

226144800 is a wasteful number, since it uses less digits than its factorization.

226144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 226144800 is about 15038.1115835733. Note that the first 3 decimals coincide. The cubic root of 226144800 is about 609.2499964500.

The spelling of 226144800 in words is "two hundred twenty-six million, one hundred forty-four thousand, eight hundred".