224434000 has 320 divisors, whose sum is σ = 701955072. Its totient is φ = 67584000.

The previous prime is 224433973. The next prime is 224434003. The reversal of 224434000 is 434422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224434003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5473980 + ... + 5474020.

Almost surely, 2^224434000 is an apocalyptic number.

224434000 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 224434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536).

224434000 is an abundant number, since it is smaller than the sum of its proper divisors (477521072).

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

224434000 is a wasteful number, since it uses less digits than its factorization.

224434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 224434000 is about 14981.1214533492. The cubic root of 224434000 is about 607.7097674103.

Adding to 224434000 its reverse (434422), we get a palindrome (224868422).

The spelling of 224434000 in words is "two hundred twenty-four million, four hundred thirty-four thousand".