224052500 has 180 divisors, whose sum is σ = 598308480. Its totient is φ = 73080000.

The previous prime is 224052467. The next prime is 224052523. The reversal of 224052500 is 5250422.

224052500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 59 ways as a sum of consecutive naturals, for example, 3797471 + ... + 3797529.

It is an arithmetic number, because the mean of its divisors is an integer number (3323936).

Almost surely, 2^224052500 is an apocalyptic number.

224052500 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 224052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299154240).

224052500 is an abundant number, since it is smaller than the sum of its proper divisors (374255980).

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

224052500 is a wasteful number, since it uses less digits than its factorization.

224052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 224052500 is about 14968.3833462402. The cubic root of 224052500 is about 607.3652373715.

The spelling of 224052500 in words is "two hundred twenty-four million, fifty-two thousand, five hundred".