228849192 has 256 divisors, whose sum is σ = 774144000. Its totient is φ = 61689600.

The previous prime is 228849169. The next prime is 228849199. The reversal of 228849192 is 291948822.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228849199) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 957409 + ... + 957647.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2^228849192 is an apocalyptic number.

228849192 is a gapful number since it is divisible by the number (22) 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 228849192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072000).

228849192 is an abundant number, since it is smaller than the sum of its proper divisors (545294808).

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

228849192 is a wasteful number, since it uses less digits than its factorization.

228849192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 228849192 is about 15127.7622932144. The cubic root of 228849192 is about 611.6689867021.

The spelling of 228849192 in words is "two hundred twenty-eight million, eight hundred forty-nine thousand, one hundred ninety-two".