229771872 has 288 divisors, whose sum is σ = 767763360. Its totient is φ = 64512000.

The previous prime is 229771859. The next prime is 229771889. The reversal of 229771872 is 278177922.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×229771872² = 105590226324768768, which contains 22 as substring.

Its product of digits (197568) is a multiple of the sum of its prime divisors (147).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3766722 + ... + 3766782.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 2^229771872 is an apocalyptic number.

229771872 is a gapful number since it is divisible by the number (22) 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 229771872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383881680).

229771872 is an abundant number, since it is smaller than the sum of its proper divisors (537991488).

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

229771872 is a wasteful number, since it uses less digits than its factorization.

229771872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 229771872 is about 15158.2278647604. The cubic root of 229771872 is about 612.4899319184.

The spelling of 229771872 in words is "two hundred twenty-nine million, seven hundred seventy-one thousand, eight hundred seventy-two".