224595000 has 480 divisors, whose sum is σ = 935700480. Its totient is φ = 47520000.

The previous prime is 224594989. The next prime is 224595011. The reversal of 224595000 is 595422.

It is an interprime number because it is at equal distance from previous prime (224594989) and next prime (224595011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7244985 + ... + 7245015.

It is an arithmetic number, because the mean of its divisors is an integer number (1949376).

Almost surely, 2^224595000 is an apocalyptic number.

224595000 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 224595000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467850240).

224595000 is an abundant number, since it is smaller than the sum of its proper divisors (711105480).

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

224595000 is a wasteful number, since it uses less digits than its factorization.

224595000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 224595000 is about 14986.4939195263. The cubic root of 224595000 is about 607.8550482591.

The spelling of 224595000 in words is "two hundred twenty-four million, five hundred ninety-five thousand".