224706120 has 64 divisors (see below), whose sum is σ = 678637440. Its totient is φ = 59520000.

The previous prime is 224706109. The next prime is 224706121. The reversal of 224706120 is 21607422.

224706120 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 (24).

It is not an unprimeable number, because it can be changed into a prime (224706121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11920 + ... + 24320.

It is an arithmetic number, because the mean of its divisors is an integer number (10603710).

Almost surely, 2^224706120 is an apocalyptic number.

224706120 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 224706120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339318720).

224706120 is an abundant number, since it is smaller than the sum of its proper divisors (453931320).

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

224706120 is a wasteful number, since it uses less digits than its factorization.

224706120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12566 (or 12562 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 224706120 is about 14990.2007991888. The cubic root of 224706120 is about 607.9552786243.

The spelling of 224706120 in words is "two hundred twenty-four million, seven hundred six thousand, one hundred twenty".