224298000 has 240 divisors, whose sum is σ = 830612016. Its totient is φ = 56217600.

The previous prime is 224297987. The next prime is 224298029. The reversal of 224298000 is 892422.

It can be written as a sum of positive squares in 8 ways, for example, as 4309776 + 219988224 = 2076^2 + 14832^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305634 + ... + 306366.

Almost surely, 2^224298000 is an apocalyptic number.

224298000 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 224298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415306008).

224298000 is an abundant number, since it is smaller than the sum of its proper divisors (606314016).

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

224298000 is a wasteful number, since it uses less digits than its factorization.

224298000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 224298000 is about 14976.5817194712. The cubic root of 224298000 is about 607.5869915562.

The spelling of 224298000 in words is "two hundred twenty-four million, two hundred ninety-eight thousand".