224689920 has 288 divisors, whose sum is σ = 884577792. Its totient is φ = 47333376.

The previous prime is 224689919. The next prime is 224689973. The reversal of 224689920 is 29986422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 349119 + ... + 349761.

Almost surely, 2^224689920 is an apocalyptic number.

224689920 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 224689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442288896).

224689920 is an abundant number, since it is smaller than the sum of its proper divisors (659887872).

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

224689920 is a wasteful number, since it uses less digits than its factorization.

224689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 224689920 is about 14989.6604364475. The cubic root of 224689920 is about 607.9406682639.

The spelling of 224689920 in words is "two hundred twenty-four million, six hundred eighty-nine thousand, nine hundred twenty".