224843904 has 256 divisors, whose sum is σ = 727056000. Its totient is φ = 68124672.

The previous prime is 224843881. The next prime is 224843909. The reversal of 224843904 is 409348422.

It is a super-2 number, since 2×224843904² = 101109562331922432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (224843909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2526292 + ... + 2526380.

Almost surely, 2^224843904 is an apocalyptic number.

224843904 is a gapful number since it is divisible by the number (24) 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 224843904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363528000).

224843904 is an abundant number, since it is smaller than the sum of its proper divisors (502212096).

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

224843904 is a wasteful number, since it uses less digits than its factorization.

224843904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 224843904 is about 14994.7958972438. The cubic root of 224843904 is about 608.0795140698.

The spelling of 224843904 in words is "two hundred twenty-four million, eight hundred forty-three thousand, nine hundred four".