228058000 has 80 divisors (see below), whose sum is σ = 557397360. Its totient is φ = 90240000.

The previous prime is 228057997. The next prime is 228058013. The reversal of 228058000 is 850822.

It can be written as a sum of positive squares in 8 ways, for example, as 63808144 + 164249856 = 7988^2 + 12816^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×228058000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201436 + ... + 202564.

It is an arithmetic number, because the mean of its divisors is an integer number (6967467).

Almost surely, 2^228058000 is an apocalyptic number.

228058000 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 228058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278698680).

228058000 is an abundant number, since it is smaller than the sum of its proper divisors (329339360).

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

228058000 is a wasteful number, since it uses less digits than its factorization.

228058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 228058000 is about 15101.5893203331. The cubic root of 228058000 is about 610.9632724719.

The spelling of 228058000 in words is "two hundred twenty-eight million, fifty-eight thousand".