229900320 has 144 divisors (see below), whose sum is σ = 844952472. Its totient is φ = 56586240.

The previous prime is 229900303. The next prime is 229900331. The reversal of 229900320 is 23009922.

It can be written as a sum of positive squares in 4 ways, for example, as 186814224 + 43086096 = 13668^2 + 6564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×229900320² = 105708314272204800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12580 + ... + 24860.

Almost surely, 2^229900320 is an apocalyptic number.

229900320 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 229900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422476236).

229900320 is an abundant number, since it is smaller than the sum of its proper divisors (615052152).

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

229900320 is a wasteful number, since it uses less digits than its factorization.

229900320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12315 (or 12304 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 229900320 is about 15162.4641796774. The cubic root of 229900320 is about 612.6040428560.

The spelling of 229900320 in words is "two hundred twenty-nine million, nine hundred thousand, three hundred twenty".