224052400 has 120 divisors (see below), whose sum is σ = 632553264. Its totient is φ = 75187200.

The previous prime is 224052397. The next prime is 224052419. The reversal of 224052400 is 4250422.

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 23 ways as a sum of consecutive naturals, for example, 55242 + ... + 59158.

Almost surely, 2^224052400 is an apocalyptic number.

224052400 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 224052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316276632).

224052400 is an abundant number, since it is smaller than the sum of its proper divisors (408500864).

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

224052400 is a wasteful number, since it uses less digits than its factorization.

224052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 224052400 is about 14968.3800058657. The cubic root of 224052400 is about 607.3651470110.

The spelling of 224052400 in words is "two hundred twenty-four million, fifty-two thousand, four hundred".