228282000 has 80 divisors (see below), whose sum is σ = 736000512. Its totient is φ = 60873600.

The previous prime is 228281959. The next prime is 228282007. The reversal of 228282000 is 282822.

228282000 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 (80).

It is a super-2 number, since 2×228282000² = 104225343048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (228282007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13024 + ... + 25023.

Almost surely, 2^228282000 is an apocalyptic number.

228282000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228282000 is an abundant number, since it is smaller than the sum of its proper divisors (507718512).

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

228282000 is a wasteful number, since it uses less digits than its factorization.

228282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38073 (or 38057 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 228282000 is about 15109.0039380497. The cubic root of 228282000 is about 611.1632376717.

The spelling of 228282000 in words is "two hundred twenty-eight million, two hundred eighty-two thousand".