224246000 has 80 divisors (see below), whose sum is σ = 591578208. Its totient is φ = 81536000.

The previous prime is 224245993. The next prime is 224246051. The reversal of 224246000 is 642422.

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

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16904 + ... + 27096.

Almost surely, 2^224246000 is an apocalyptic number.

224246000 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 224246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295789104).

224246000 is an abundant number, since it is smaller than the sum of its proper divisors (367332208).

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

224246000 is a wasteful number, since it uses less digits than its factorization.

224246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10227 (or 10211 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 224246000 is about 14974.8455751637. The cubic root of 224246000 is about 607.5400347317.

Adding to 224246000 its reverse (642422), we get a palindrome (224888422).

The spelling of 224246000 in words is "two hundred twenty-four million, two hundred forty-six thousand".