224668920 has 192 divisors, whose sum is σ = 825724800. Its totient is φ = 48625920.

The previous prime is 224668919. The next prime is 224668933. The reversal of 224668920 is 29866422.

224668920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224668920² = 100952247227932800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110715 + ... + 112725.

It is an arithmetic number, because the mean of its divisors is an integer number (4300650).

Almost surely, 2^224668920 is an apocalyptic number.

224668920 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 224668920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412862400).

224668920 is an abundant number, since it is smaller than the sum of its proper divisors (601055880).

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

224668920 is a wasteful number, since it uses less digits than its factorization.

224668920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 224668920 is about 14988.9599372338. The cubic root of 224668920 is about 607.9217278625.

The spelling of 224668920 in words is "two hundred twenty-four million, six hundred sixty-eight thousand, nine hundred twenty".