224142012 has 72 divisors (see below), whose sum is σ = 613410000. Its totient is φ = 70769376.

The previous prime is 224142011. The next prime is 224142019. The reversal of 224142012 is 210241422.

224142012 is a `hidden beast` number, since 2 + 241 + 420 + 1 + 2 = 666.

224142012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224142011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36114 + ... + 41862.

Almost surely, 2^224142012 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 224142012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306705000).

224142012 is an abundant number, since it is smaller than the sum of its proper divisors (389267988).

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

224142012 is a wasteful number, since it uses less digits than its factorization.

224142012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800 (or 5773 counting only the distinct ones).

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

The square root of 224142012 is about 14971.3730833214. The cubic root of 224142012 is about 607.4461101412.

Adding to 224142012 its reverse (210241422), we get a palindrome (434383434).

It can be divided in two parts, 2241 and 42012, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 224142012 in words is "two hundred twenty-four million, one hundred forty-two thousand, twelve".