224465200 has 60 divisors (see below), whose sum is σ = 545855688. Its totient is φ = 88691200.

The previous prime is 224465179. The next prime is 224465207. The reversal of 224465200 is 2564422.

It is a super-2 number, since 2×224465200² = 100769252022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (224465207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29820 + ... + 36580.

Almost surely, 2^224465200 is an apocalyptic number.

224465200 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 224465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272927844).

224465200 is an abundant number, since it is smaller than the sum of its proper divisors (321390488).

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

224465200 is a wasteful number, since it uses less digits than its factorization.

224465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6862 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 224465200 is about 14982.1627277239. The cubic root of 224465200 is about 607.7379266408.

The spelling of 224465200 in words is "two hundred twenty-four million, four hundred sixty-five thousand, two hundred".