224406612 has 84 divisors (see below), whose sum is σ = 603480276. Its totient is φ = 72938880.

The previous prime is 224406601. The next prime is 224406619. The reversal of 224406612 is 216604422.

224406612 is a `hidden beast` number, since 2 + 2 + 4 + 40 + 6 + 612 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64738116 + 159668496 = 8046^2 + 12636^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224406619) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 118618 + ... + 120494.

It is an arithmetic number, because the mean of its divisors is an integer number (7184289).

Almost surely, 2^224406612 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 224406612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301740138).

224406612 is an abundant number, since it is smaller than the sum of its proper divisors (379073664).

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

224406612 is a wasteful number, since it uses less digits than its factorization.

224406612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 224406612 is about 14980.2073416892. The cubic root of 224406612 is about 607.6850465092.

The spelling of 224406612 in words is "two hundred twenty-four million, four hundred six thousand, six hundred twelve".