261223224 has 64 divisors (see below), whose sum is σ = 696276000. Its totient is φ = 81383424.

The previous prime is 261223199. The next prime is 261223247. The reversal of 261223224 is 422322162.

It is a happy number.

261223224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 261223194 and 261223203.

It is a congruent number.

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, 58644 + ... + 62940.

Almost surely, 2^261223224 is an apocalyptic number.

261223224 is a gapful number since it is divisible by the number (24) 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 261223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348138000).

261223224 is an abundant number, since it is smaller than the sum of its proper divisors (435052776).

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

261223224 is a wasteful number, since it uses less digits than its factorization.

261223224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4468 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 261223224 is about 16162.4015542245. The cubic root of 261223224 is about 639.2497915216.

Adding to 261223224 its reverse (422322162), we get a palindrome (683545386).

The spelling of 261223224 in words is "two hundred sixty-one million, two hundred twenty-three thousand, two hundred twenty-four".