228149820 has 144 divisors (see below), whose sum is σ = 712726560. Its totient is φ = 59056128.

The previous prime is 228149759. The next prime is 228149833. The reversal of 228149820 is 28941822.

228149820 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274491 + ... + 1274669.

It is an arithmetic number, because the mean of its divisors is an integer number (4949490).

Almost surely, 2^228149820 is an apocalyptic number.

228149820 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 228149820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356363280).

228149820 is an abundant number, since it is smaller than the sum of its proper divisors (484576740).

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

228149820 is a wasteful number, since it uses less digits than its factorization.

228149820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 228149820 is about 15104.6290917718. The cubic root of 228149820 is about 611.0452561787.

The spelling of 228149820 in words is "two hundred twenty-eight million, one hundred forty-nine thousand, eight hundred twenty".