229419072 has 84 divisors (see below), whose sum is σ = 692231280. Its totient is φ = 72444672.

The previous prime is 229419059. The next prime is 229419101. The reversal of 229419072 is 270914922.

It is a super-2 number, since 2×229419072² = 105266221194682368, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 463 + ... + 21425.

Almost surely, 2^229419072 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 229419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346115640).

229419072 is an abundant number, since it is smaller than the sum of its proper divisors (462812208).

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

229419072 is a wasteful number, since it uses less digits than its factorization.

229419072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21000 (or 20987 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 229419072 is about 15146.5861500207. The cubic root of 229419072 is about 612.1762916453.

The spelling of 229419072 in words is "two hundred twenty-nine million, four hundred nineteen thousand, seventy-two".