228024420 has 96 divisors (see below), whose sum is σ = 690678912. Its totient is φ = 55876608.

The previous prime is 228024373. The next prime is 228024421. The reversal of 228024420 is 24420822.

It is a super-2 number, since 2×228024420² = 103990272232672800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228024421) 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 31 ways as a sum of consecutive naturals, for example, 220224 + ... + 221256.

It is an arithmetic number, because the mean of its divisors is an integer number (7194572).

Almost surely, 2^228024420 is an apocalyptic number.

228024420 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 228024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345339456).

228024420 is an abundant number, since it is smaller than the sum of its proper divisors (462654492).

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

228024420 is a wasteful number, since it uses less digits than its factorization.

228024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 228024420 is about 15100.4774758946. The cubic root of 228024420 is about 610.9332842617.

The spelling of 228024420 in words is "two hundred twenty-eight million, twenty-four thousand, four hundred twenty".