224302000 has 80 divisors (see below), whose sum is σ = 584150112. Its totient is φ = 82809600.

The previous prime is 224301977. The next prime is 224302009. The reversal of 224302000 is 203422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×224302000² = 100622774408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (224302009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21687 + ... + 30313.

Almost surely, 2^224302000 is an apocalyptic number.

224302000 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 224302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292075056).

224302000 is an abundant number, since it is smaller than the sum of its proper divisors (359848112).

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

224302000 is a wasteful number, since it uses less digits than its factorization.

224302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 224302000 is about 14976.7152606972. The cubic root of 224302000 is about 607.5906033190.

Adding to 224302000 its reverse (203422), we get a palindrome (224505422).

The spelling of 224302000 in words is "two hundred twenty-four million, three hundred two thousand".