224101152 has 144 divisors (see below), whose sum is σ = 701955072. Its totient is φ = 67253760.

The previous prime is 224101151. The next prime is 224101169. The reversal of 224101152 is 251101422.

It is a tau number, because it is divible by the number of its divisors (144).

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 (224101151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402058 + ... + 402614.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^224101152 is an apocalyptic number.

224101152 is a gapful number since it is divisible by the number (22) 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 224101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536).

224101152 is an abundant number, since it is smaller than the sum of its proper divisors (477853920).

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

224101152 is a wasteful number, since it uses less digits than its factorization.

224101152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 224101152 is about 14970.0084168313. The cubic root of 224101152 is about 607.4091964063.

Adding to 224101152 its reverse (251101422), we get a palindrome (475202574).

The spelling of 224101152 in words is "two hundred twenty-four million, one hundred one thousand, one hundred fifty-two".