224042112 has 280 divisors, whose sum is σ = 780680715. Its totient is φ = 64012032.

The previous prime is 224042107. The next prime is 224042113. The reversal of 224042112 is 211240422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224042112 is a `hidden beast` number, since 2 + 240 + 421 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112021056 + 112021056 = 10584^2 + 10584^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10584.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224042113) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 32006013 + ... + 32006019.

Almost surely, 2^224042112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224042112

224042112 is an abundant number, since it is smaller than the sum of its proper divisors (556638603).

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

224042112 is an frugal number, since it uses more digits than its factorization.

224042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 224042112 is about 14968.0363441568. The cubic root of 224042112 is about 607.3558505722.

Multiplying 224042112 by its sum of digits (18), we get a 4-th power (4032758016 = 252⁴).

224042112 divided by its sum of digits (18) gives a square (12446784 = 3528²).

Adding to 224042112 its reverse (211240422), we get a palindrome (435282534).

The spelling of 224042112 in words is "two hundred twenty-four million, forty-two thousand, one hundred twelve".