223140240 has 120 divisors (see below), whose sum is σ = 759058560. Its totient is φ = 58735872.

The previous prime is 223140233. The next prime is 223140241. The reversal of 223140240 is 42041322.

223140240 is a `hidden beast` number, since 223 + 1 + 402 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×223140240³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (223140241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54919 + ... + 58841.

It is an arithmetic number, because the mean of its divisors is an integer number (6325488).

Almost surely, 2^223140240 is an apocalyptic number.

223140240 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 223140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379529280).

223140240 is an abundant number, since it is smaller than the sum of its proper divisors (535918320).

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

223140240 is a wasteful number, since it uses less digits than its factorization.

223140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 223140240 is about 14937.8793675675. The cubic root of 223140240 is about 606.5397928676.

Adding to 223140240 its reverse (42041322), we get a palindrome (265181562).

The spelling of 223140240 in words is "two hundred twenty-three million, one hundred forty thousand, two hundred forty".