228426000 has 160 divisors (see below), whose sum is σ = 803627136. Its totient is φ = 55360000.

The previous prime is 228425987. The next prime is 228426013. The reversal of 228426000 is 624822.

It is an interprime number because it is at equal distance from previous prime (228425987) and next prime (228426013).

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

It is an unprimeable number.

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, 64270 + ... + 67730.

Almost surely, 2^228426000 is an apocalyptic number.

228426000 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 228426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401813568).

228426000 is an abundant number, since it is smaller than the sum of its proper divisors (575201136).

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

228426000 is a wasteful number, since it uses less digits than its factorization.

228426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 228426000 is about 15113.7685571799. The cubic root of 228426000 is about 611.2917176624.

The spelling of 228426000 in words is "two hundred twenty-eight million, four hundred twenty-six thousand".