229220640 has 288 divisors, whose sum is σ = 884520000. Its totient is φ = 53544960.

The previous prime is 229220623. The next prime is 229220647. The reversal of 229220640 is 46022922.

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

It is not an unprimeable number, because it can be changed into a prime (229220647) by changing a digit.

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, 459111 + ... + 459609.

It is an arithmetic number, because the mean of its divisors is an integer number (3071250).

Almost surely, 2^229220640 is an apocalyptic number.

229220640 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 229220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260000).

229220640 is an abundant number, since it is smaller than the sum of its proper divisors (655299360).

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

229220640 is a wasteful number, since it uses less digits than its factorization.

229220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 229220640 is about 15140.0343460641. The cubic root of 229220640 is about 611.9997436882. Note that the first 3 decimals are identical.

The spelling of 229220640 in words is "two hundred twenty-nine million, two hundred twenty thousand, six hundred forty".