224694960400 has 135 divisors (see below), whose sum is σ = 546960281581. Its totient is φ = 88706206720.

The previous prime is 224694960377. The next prime is 224694960437. The reversal of 224694960400 is 4069496422.

The square root of 224694960400 is 474020.

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

It can be written as a sum of positive squares in 13 ways, for example, as 27786222864 + 196908737536 = 166692^2 + 443744^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 1298814714 + ... + 1298814886.

Almost surely, 2^224694960400 is an apocalyptic number.

224694960400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

224694960400 is the 474020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224694960400

224694960400 is an abundant number, since it is smaller than the sum of its proper divisors (322265321181).

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

224694960400 is an equidigital number, since it uses as much as digits as its factorization.

224694960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 224694960400 in words is "two hundred twenty-four billion, six hundred ninety-four million, nine hundred sixty thousand, four hundred".