228417540 has 96 divisors (see below), whose sum is σ = 696097920. Its totient is φ = 55627776.

The previous prime is 228417533. The next prime is 228417547. The reversal of 228417540 is 45714822.

It is an interprime number because it is at equal distance from previous prime (228417533) and next prime (228417547).

It is not an unprimeable number, because it can be changed into a prime (228417547) 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, 74151 + ... + 77169.

It is an arithmetic number, because the mean of its divisors is an integer number (7251020).

Almost surely, 2^228417540 is an apocalyptic number.

228417540 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 228417540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348048960).

228417540 is an abundant number, since it is smaller than the sum of its proper divisors (467680380).

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

228417540 is a wasteful number, since it uses less digits than its factorization.

228417540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 228417540 is about 15113.4886773372. The cubic root of 228417540 is about 611.2841709561.

It can be divided in two parts, 22841 and 7540, that added together give a triangular number (30381 = T₂₄₆).

The spelling of 228417540 in words is "two hundred twenty-eight million, four hundred seventeen thousand, five hundred forty".