224001000 has 96 divisors (see below), whose sum is σ = 757153800. Its totient is φ = 59731200.

The previous prime is 224000989. The next prime is 224001023. The reversal of 224001000 is 100422.

It can be written as a sum of positive squares in 4 ways, for example, as 9847044 + 214153956 = 3138^2 + 14634^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3445 + ... + 21444.

Almost surely, 2^224001000 is an apocalyptic number.

224001000 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 224001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378576900).

224001000 is an abundant number, since it is smaller than the sum of its proper divisors (533152800).

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

224001000 is a wasteful number, since it uses less digits than its factorization.

224001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24916 (or 24899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 224001000 is about 14966.6629547137. The cubic root of 224001000 is about 607.3186981205.

Adding to 224001000 its reverse (100422), we get a palindrome (224101422).

The spelling of 224001000 in words is "two hundred twenty-four million, one thousand".