234223920 has 240 divisors, whose sum is σ = 938913120. Its totient is φ = 53512704.

The previous prime is 234223919. The next prime is 234223921. The reversal of 234223920 is 29322432.

234223920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234223919) and next prime (234223921).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (234223921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104734 + ... + 106946.

It is an arithmetic number, because the mean of its divisors is an integer number (3912138).

Almost surely, 2^234223920 is an apocalyptic number.

234223920 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 234223920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469456560).

234223920 is an abundant number, since it is smaller than the sum of its proper divisors (704689200).

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

234223920 is a wasteful number, since it uses less digits than its factorization.

234223920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 234223920 is about 15304.3758448360. The cubic root of 234223920 is about 616.4205117708.

It can be divided in two parts, 2342 and 23920, that added together give a palindrome (26262).

The spelling of 234223920 in words is "two hundred thirty-four million, two hundred twenty-three thousand, nine hundred twenty".