224121600 has 216 divisors, whose sum is σ = 822464720. Its totient is φ = 59719680.

The previous prime is 224121571. The next prime is 224121631. The reversal of 224121600 is 6121422.

224121600 is a `hidden beast` number, since 2 + 2 + 41 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 172152 + ... + 173448.

Almost surely, 2^224121600 is an apocalyptic number.

224121600 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 224121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411232360).

224121600 is an abundant number, since it is smaller than the sum of its proper divisors (598343120).

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

224121600 is a wasteful number, since it uses less digits than its factorization.

224121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 224121600 is about 14970.6913668007. The cubic root of 224121600 is about 607.4276700961.

The spelling of 224121600 in words is "two hundred twenty-four million, one hundred twenty-one thousand, six hundred".