228471840 has 360 divisors, whose sum is σ = 870577092. Its totient is φ = 56401920.

The previous prime is 228471839. The next prime is 228471851. The reversal of 228471840 is 48174822.

It can be written as a sum of positive squares in 6 ways, for example, as 96589584 + 131882256 = 9828^2 + 11484^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×228471840³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228471795 and 228471804.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3745410 + ... + 3745470.

Almost surely, 2^228471840 is an apocalyptic number.

228471840 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 228471840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435288546).

228471840 is an abundant number, since it is smaller than the sum of its proper divisors (642105252).

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

228471840 is a wasteful number, since it uses less digits than its factorization.

228471840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 228471840 is about 15115.2849791196. The cubic root of 228471840 is about 611.3326057956.

The spelling of 228471840 in words is "two hundred twenty-eight million, four hundred seventy-one thousand, eight hundred forty".