228819000 has 128 divisors (see below), whose sum is σ = 722779200. Its totient is φ = 60262400.

The previous prime is 228818999. The next prime is 228819007. The reversal of 228819000 is 918822.

It is a super-2 number, since 2×228819000² = 104716269522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228819007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266572 + ... + 267428.

Almost surely, 2^228819000 is an apocalyptic number.

228819000 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 228819000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361389600).

228819000 is an abundant number, since it is smaller than the sum of its proper divisors (493960200).

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

228819000 is a wasteful number, since it uses less digits than its factorization.

228819000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 228819000 is about 15126.7643599020. The cubic root of 228819000 is about 611.6420864218.

The spelling of 228819000 in words is "two hundred twenty-eight million, eight hundred nineteen thousand".