Search a number
-
+
2232320112 = 2432113741929
BaseRepresentation
bin1000010100001110…
…1000000001110000
312202120111121111200
42011003220001300
514032433220422
61005302211200
7106214256621
oct20503500160
95676447450
102232320112
11a460a5160
12523723b00
13297639699
14172691a48
15d0ea32ac
hex850e8070

2232320112 has 240 divisors, whose sum is σ = 7177978080. Its totient is φ = 641433600.

The previous prime is 2232320087. The next prime is 2232320113. The reversal of 2232320112 is 2110232322.

2232320112 is a `hidden beast` number, since 2 + 232 + 320 + 112 = 666.

It is a super-3 number, since 3×22323201123 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232320113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2402464 + ... + 2403392.

It is an arithmetic number, because the mean of its divisors is an integer number (29908242).

Almost surely, 22232320112 is an apocalyptic number.

2232320112 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 2232320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588989040).

2232320112 is an abundant number, since it is smaller than the sum of its proper divisors (4945657968).

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

2232320112 is a wasteful number, since it uses less digits than its factorization.

2232320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2232320112 is about 47247.4349779964. The cubic root of 2232320112 is about 1306.9294891057.

Adding to 2232320112 its reverse (2110232322), we get a palindrome (4342552434).

The spelling of 2232320112 in words is "two billion, two hundred thirty-two million, three hundred twenty thousand, one hundred twelve".