229422320 has 80 divisors (see below), whose sum is σ = 558059520. Its totient is φ = 87609600.

The previous prime is 229422313. The next prime is 229422341. The reversal of 229422320 is 23224922.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×229422320³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229422320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195335 + ... + 196505.

It is an arithmetic number, because the mean of its divisors is an integer number (6975744).

Almost surely, 2^229422320 is an apocalyptic number.

229422320 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 229422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279029760).

229422320 is an abundant number, since it is smaller than the sum of its proper divisors (328637200).

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

229422320 is a wasteful number, since it uses less digits than its factorization.

229422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 229422320 is about 15146.6933685211. The cubic root of 229422320 is about 612.1791805931.

The spelling of 229422320 in words is "two hundred twenty-nine million, four hundred twenty-two thousand, three hundred twenty".