224052000 has 96 divisors (see below), whose sum is σ = 734033664. Its totient is φ = 59744000.

The previous prime is 224051987. The next prime is 224052013. The reversal of 224052000 is 250422.

It is an interprime number because it is at equal distance from previous prime (224051987) and next prime (224052013).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2665 + ... + 21335.

It is an arithmetic number, because the mean of its divisors is an integer number (7646184).

Almost surely, 2^224052000 is an apocalyptic number.

224052000 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 224052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367016832).

224052000 is an abundant number, since it is smaller than the sum of its proper divisors (509981664).

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

224052000 is a wasteful number, since it uses less digits than its factorization.

224052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18699 (or 18681 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 224052000 is about 14968.3666443604. The cubic root of 224052000 is about 607.3647855684.

The spelling of 224052000 in words is "two hundred twenty-four million, fifty-two thousand".