226184400 has 360 divisors, whose sum is σ = 881506080. Its totient is φ = 55365120.

The previous prime is 226184359. The next prime is 226184407. The reversal of 226184400 is 4481622.

226184400 is a `hidden beast` number, since 2 + 2 + 618 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226184407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263511 + ... + 1263689.

It is an arithmetic number, because the mean of its divisors is an integer number (2448628).

Almost surely, 2^226184400 is an apocalyptic number.

226184400 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 226184400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440753040).

226184400 is an abundant number, since it is smaller than the sum of its proper divisors (655321680).

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

226184400 is a wasteful number, since it uses less digits than its factorization.

226184400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

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

The square root of 226184400 is about 15039.4281806191. The cubic root of 226184400 is about 609.2855561029.

The spelling of 226184400 in words is "two hundred twenty-six million, one hundred eighty-four thousand, four hundred".