223426382400 has 945 divisors, whose sum is σ = 898184538273. Its totient is φ = 54452736000.

The previous prime is 223426382393. The next prime is 223426382471. The reversal of 223426382400 is 4283624322.

The square root of 223426382400 is 472680.

It is a perfect power (a square), and thus also a powerful number.

223426382400 is a `hidden beast` number, since 2 + 234 + 2 + 6 + 382 + 40 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 99770066496 + 123656315904 = 315864^2 + 351648^2 .

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 134 ways as a sum of consecutive naturals, for example, 2212142350 + ... + 2212142450.

Almost surely, 2^223426382400 is an apocalyptic number.

223426382400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

223426382400 is the 472680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223426382400

223426382400 is an abundant number, since it is smaller than the sum of its proper divisors (674758155873).

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

223426382400 is a wasteful number, since it uses less digits than its factorization.

223426382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Multiplying 223426382400 by its sum of digits (36), we get a square (8043349766400 = 2836080²).

223426382400 divided by its sum of digits (36) gives a square (6206288400 = 78780²).

The spelling of 223426382400 in words is "two hundred twenty-three billion, four hundred twenty-six million, three hundred eighty-two thousand, four hundred".