228893000 has 128 divisors (see below), whose sum is σ = 644716800. Its totient is φ = 74304000.

The previous prime is 228892997. The next prime is 228893003. The reversal of 228893000 is 398822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (228892997) and next prime (228893003).

It is not an unprimeable number, because it can be changed into a prime (228893003) 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, 132140 + ... + 133860.

It is an arithmetic number, because the mean of its divisors is an integer number (5036850).

Almost surely, 2^228893000 is an apocalyptic number.

228893000 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 228893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322358400).

228893000 is an abundant number, since it is smaller than the sum of its proper divisors (415823800).

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

228893000 is a wasteful number, since it uses less digits than its factorization.

228893000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 228893000 is about 15129.2101578371. The cubic root of 228893000 is about 611.7080142747.

The spelling of 228893000 in words is "two hundred twenty-eight million, eight hundred ninety-three thousand".