223232640 has 128 divisors (see below), whose sum is σ = 716040000. Its totient is φ = 59154432.

The previous prime is 223232617. The next prime is 223232663. The reversal of 223232640 is 46232322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (223232617) and next prime (223232663).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×223232640³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 223232640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447111 + ... + 447609.

Almost surely, 2^223232640 is an apocalyptic number.

223232640 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 223232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358020000).

223232640 is an abundant number, since it is smaller than the sum of its proper divisors (492807360).

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

223232640 is a wasteful number, since it uses less digits than its factorization.

223232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 223232640 is about 14940.9718559403. The cubic root of 223232640 is about 606.6235018732.

Adding to 223232640 its reverse (46232322), we get a palindrome (269464962).

The spelling of 223232640 in words is "two hundred twenty-three million, two hundred thirty-two thousand, six hundred forty".