227224320 has 144 divisors (see below), whose sum is σ = 741726720. Its totient is φ = 59256832.

The previous prime is 227224313. The next prime is 227224321. The reversal of 227224320 is 23422722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227224321) 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 15 ways as a sum of consecutive naturals, for example, 179851 + ... + 181109.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2^227224320 is an apocalyptic number.

227224320 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 227224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370863360).

227224320 is an abundant number, since it is smaller than the sum of its proper divisors (514502400).

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

227224320 is a wasteful number, since it uses less digits than its factorization.

227224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 227224320 is about 15073.9616557825. The cubic root of 227224320 is about 610.2178922393.

The spelling of 227224320 in words is "two hundred twenty-seven million, two hundred twenty-four thousand, three hundred twenty".