224822400 has 192 divisors, whose sum is σ = 808207200. Its totient is φ = 54476800.

The previous prime is 224822371. The next prime is 224822443. The reversal of 224822400 is 4228422.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×224822400² = 101090223083520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104536 + ... + 106664.

Almost surely, 2^224822400 is an apocalyptic number.

224822400 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 224822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404103600).

224822400 is an abundant number, since it is smaller than the sum of its proper divisors (583384800).

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

224822400 is a wasteful number, since it uses less digits than its factorization.

224822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 224822400 is about 14994.0788313254. The cubic root of 224822400 is about 608.0601279408.

The spelling of 224822400 in words is "two hundred twenty-four million, eight hundred twenty-two thousand, four hundred".