228220440 has 192 divisors, whose sum is σ = 818748000. Its totient is φ = 50706432.

The previous prime is 228220439. The next prime is 228220441. The reversal of 228220440 is 44022822.

228220440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228220439) and next prime (228220441).

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

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 228220440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228220441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217036 + ... + 218084.

Almost surely, 2^228220440 is an apocalyptic number.

228220440 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 228220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409374000).

228220440 is an abundant number, since it is smaller than the sum of its proper divisors (590527560).

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

228220440 is a wasteful number, since it uses less digits than its factorization.

228220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 228220440 is about 15106.9666048482. The cubic root of 228220440 is about 611.1082959895.

It can be divided in two parts, 2282 and 20440, that added together give a palindrome (22722).

The spelling of 228220440 in words is "two hundred twenty-eight million, two hundred twenty thousand, four hundred forty".