224242000 has 40 divisors (see below), whose sum is σ = 542221992. Its totient is φ = 89696000.

The previous prime is 224241991. The next prime is 224242027. The reversal of 224242000 is 242422.

224242000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51897616 + 172344384 = 7204^2 + 13128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54061 + ... + 58060.

Almost surely, 2^224242000 is an apocalyptic number.

224242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224242000 is an abundant number, since it is smaller than the sum of its proper divisors (317979992).

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

224242000 is a wasteful number, since it uses less digits than its factorization.

224242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112144 (or 112128 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 224242000 is about 14974.7120172643. The cubic root of 224242000 is about 607.5364223676.

Adding to 224242000 its reverse (242422), we get a palindrome (224484422).

The spelling of 224242000 in words is "two hundred twenty-four million, two hundred forty-two thousand".