228213180 has 384 divisors, whose sum is σ = 846720000. Its totient is φ = 50512896.

The previous prime is 228213143. The next prime is 228213187. The reversal of 228213180 is 81312822.

228213180 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228213187) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3867991 + ... + 3868049.

It is an arithmetic number, because the mean of its divisors is an integer number (2205000).

Almost surely, 2^228213180 is an apocalyptic number.

228213180 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 228213180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360000).

228213180 is an abundant number, since it is smaller than the sum of its proper divisors (618506820).

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

228213180 is a wasteful number, since it uses less digits than its factorization.

228213180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 228213180 is about 15106.7263164459. The cubic root of 228213180 is about 611.1018158611.

The spelling of 228213180 in words is "two hundred twenty-eight million, two hundred thirteen thousand, one hundred eighty".