228540416 has 120 divisors (see below), whose sum is σ = 522961320. Its totient is φ = 99090432.

The previous prime is 228540383. The next prime is 228540449. The reversal of 228540416 is 614045822.

It is an interprime number because it is at equal distance from previous prime (228540383) and next prime (228540449).

It can be written as a sum of positive squares in 4 ways, for example, as 40960000 + 187580416 = 6400^2 + 13696^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6176750 + ... + 6176786.

It is an arithmetic number, because the mean of its divisors is an integer number (4358011).

Almost surely, 2^228540416 is an apocalyptic number.

228540416 is a gapful number since it is divisible by the number (26) 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 228540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261480660).

228540416 is an abundant number, since it is smaller than the sum of its proper divisors (294420904).

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

228540416 is an equidigital number, since it uses as much as digits as its factorization.

228540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 228540416 is about 15117.5532411829. The cubic root of 228540416 is about 611.3937636624.

The spelling of 228540416 in words is "two hundred twenty-eight million, five hundred forty thousand, four hundred sixteen".