224686920 has 96 divisors (see below), whose sum is σ = 684504000. Its totient is φ = 59000832.

The previous prime is 224686907. The next prime is 224686921. The reversal of 224686920 is 29686422.

It is not an unprimeable number, because it can be changed into a prime (224686921) 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 23 ways as a sum of consecutive naturals, for example, 1128981 + ... + 1129179.

It is an arithmetic number, because the mean of its divisors is an integer number (7130250).

Almost surely, 2^224686920 is an apocalyptic number.

224686920 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 224686920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342252000).

224686920 is an abundant number, since it is smaller than the sum of its proper divisors (459817080).

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

224686920 is a wasteful number, since it uses less digits than its factorization.

224686920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 224686920 is about 14989.5603671355. The cubic root of 224686920 is about 607.9379625645.

The spelling of 224686920 in words is "two hundred twenty-four million, six hundred eighty-six thousand, nine hundred twenty".