241168224 has 96 divisors (see below), whose sum is σ = 696076416. Its totient is φ = 72504320.

The previous prime is 241168219. The next prime is 241168229. The reversal of 241168224 is 422861142.

It is an interprime number because it is at equal distance from previous prime (241168219) and next prime (241168229).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×241168224² = 116324224534628352, which contains 22 as substring.

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 = 241168191 and 241168200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241168229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143839 + ... + 145505.

It is an arithmetic number, because the mean of its divisors is an integer number (7250796).

Almost surely, 2^241168224 is an apocalyptic number.

241168224 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 241168224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348038208).

241168224 is an abundant number, since it is smaller than the sum of its proper divisors (454908192).

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

241168224 is a wasteful number, since it uses less digits than its factorization.

241168224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1820 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 241168224 is about 15529.5918813084. The cubic root of 241168224 is about 622.4531872347.

The spelling of 241168224 in words is "two hundred forty-one million, one hundred sixty-eight thousand, two hundred twenty-four".