30228240 has 160 divisors (see below), whose sum is σ = 112849920. Its totient is φ = 6538752.

The previous prime is 30228203. The next prime is 30228241. The reversal of 30228240 is 4282203.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (30228241) 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, 31447 + ... + 32393.

It is an arithmetic number, because the mean of its divisors is an integer number (705312).

Almost surely, 2^30228240 is an apocalyptic number.

30228240 is a gapful number since it is divisible by the number (30) 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 30228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56424960).

30228240 is an abundant number, since it is smaller than the sum of its proper divisors (82621680).

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

30228240 is a wasteful number, since it uses less digits than its factorization.

30228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 30228240 is about 5498.0214623081. The cubic root of 30228240 is about 311.5092548095.

The spelling of 30228240 in words is "thirty million, two hundred twenty-eight thousand, two hundred forty".