224056000 has 112 divisors (see below), whose sum is σ = 634300992. Its totient is φ = 76800000.

The previous prime is 224055991. The next prime is 224056009. The reversal of 224056000 is 650422.

It is an interprime number because it is at equal distance from previous prime (224055991) and next prime (224056009).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×224056000² = 100402182272000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (224056009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54000 + ... + 58000.

Almost surely, 2^224056000 is an apocalyptic number.

224056000 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 224056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317150496).

224056000 is an abundant number, since it is smaller than the sum of its proper divisors (410244992).

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

224056000 is an equidigital number, since it uses as much as digits as its factorization.

224056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 224056000 is about 14968.5002588770. The cubic root of 224056000 is about 607.3683999744.

It can be divided in two parts, 2240 and 56000, that multiplied together give a square (125440000 = 11200²).

The spelling of 224056000 in words is "two hundred twenty-four million, fifty-six thousand".