228261972 has 48 divisors (see below), whose sum is σ = 562060800. Its totient is φ = 71900640.

The previous prime is 228261967. The next prime is 228261977. The reversal of 228261972 is 279162822.

228261972 is digitally balanced in base 3, 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 (228261967) and next prime (228261977).

It is a super-2 number, since 2×228261972² = 104207055722657568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228261972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228261977) 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 15 ways as a sum of consecutive naturals, for example, 110929 + ... + 112967.

It is an arithmetic number, because the mean of its divisors is an integer number (11709600).

Almost surely, 2^228261972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228261972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281030400).

228261972 is an abundant number, since it is smaller than the sum of its proper divisors (333798828).

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

228261972 is a wasteful number, since it uses less digits than its factorization.

228261972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2554 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 228261972 is about 15108.3411399134. The cubic root of 228261972 is about 611.1453639668.

The spelling of 228261972 in words is "two hundred twenty-eight million, two hundred sixty-one thousand, nine hundred seventy-two".