229228272 has 400 divisors, whose sum is σ = 875256480. Its totient is φ = 56899584.

The previous prime is 229228231. The next prime is 229228273. The reversal of 229228272 is 272822922.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (32256) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229228273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13484008 + ... + 13484024.

Almost surely, 2^229228272 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 229228272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437628240).

229228272 is an abundant number, since it is smaller than the sum of its proper divisors (646028208).

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

229228272 is a wasteful number, since it uses less digits than its factorization.

229228272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 229228272 is about 15140.2863909505. The cubic root of 229228272 is about 612.0065358779.

The spelling of 229228272 in words is "two hundred twenty-nine million, two hundred twenty-eight thousand, two hundred seventy-two".