273223120 has 40 divisors (see below), whose sum is σ = 638787240. Its totient is φ = 108679680.

The previous prime is 273223117. The next prime is 273223129. The reversal of 273223120 is 21322372.

It can be written as a sum of positive squares in 4 ways, for example, as 24088464 + 249134656 = 4908^2 + 15784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 273223091 and 273223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273223129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5046 + ... + 23914.

It is an arithmetic number, because the mean of its divisors is an integer number (15969681).

Almost surely, 2^273223120 is an apocalyptic number.

273223120 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 273223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319393620).

273223120 is an abundant number, since it is smaller than the sum of its proper divisors (365564120).

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

273223120 is a wasteful number, since it uses less digits than its factorization.

273223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19063 (or 19057 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 273223120 is about 16529.4621812084. The cubic root of 273223120 is about 648.8920929521.

Adding to 273223120 its reverse (21322372), we get a palindrome (294545492).

It can be divided in two parts, 2732 and 23120, that added together give a palindrome (25852).

The spelling of 273223120 in words is "two hundred seventy-three million, two hundred twenty-three thousand, one hundred twenty".