224696920 has 64 divisors (see below), whose sum is σ = 585760320. Its totient is φ = 75976704.

The previous prime is 224696863. The next prime is 224696921. The reversal of 224696920 is 29696422.

It is a happy number.

224696920 is digitally balanced in base 3, 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224696921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14944 + ... + 25936.

It is an arithmetic number, because the mean of its divisors is an integer number (9152505).

Almost surely, 2^224696920 is an apocalyptic number.

224696920 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 224696920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292880160).

224696920 is an abundant number, since it is smaller than the sum of its proper divisors (361063400).

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

224696920 is a wasteful number, since it uses less digits than its factorization.

224696920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11084 (or 11080 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 224696920 is about 14989.8939289109. The cubic root of 224696920 is about 607.9469814687.

The spelling of 224696920 in words is "two hundred twenty-four million, six hundred ninety-six thousand, nine hundred twenty".