228312000 has 448 divisors, whose sum is σ = 963655680. Its totient is φ = 51840000.

The previous prime is 228311977. The next prime is 228312013. The reversal of 228312000 is 213822.

It is a happy number.

228312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511925 + ... + 1512075.

Almost surely, 2^228312000 is an apocalyptic number.

228312000 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 228312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481827840).

228312000 is an abundant number, since it is smaller than the sum of its proper divisors (735343680).

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

228312000 is a wasteful number, since it uses less digits than its factorization.

228312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 228312000 is about 15109.9966909328. The cubic root of 228312000 is about 611.1900087911.

Adding to 228312000 its reverse (213822), we get a palindrome (228525822).

The spelling of 228312000 in words is "two hundred twenty-eight million, three hundred twelve thousand".