201142224 has 80 divisors (see below), whose sum is σ = 579427200. Its totient is φ = 66806784.

The previous prime is 201142171. The next prime is 201142243. The reversal of 201142224 is 422241102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201142197 and 201142206.

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, 151837 + ... + 153155.

It is an arithmetic number, because the mean of its divisors is an integer number (7242840).

Almost surely, 2^201142224 is an apocalyptic number.

201142224 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 201142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289713600).

201142224 is an abundant number, since it is smaller than the sum of its proper divisors (378284976).

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

201142224 is a wasteful number, since it uses less digits than its factorization.

201142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 201142224 is about 14182.4618455330. The cubic root of 201142224 is about 585.9147293679.

Adding to 201142224 its reverse (422241102), we get a palindrome (623383326).

The spelling of 201142224 in words is "two hundred one million, one hundred forty-two thousand, two hundred twenty-four".