Search a number
-
+
22221112200 = 23352737142993
BaseRepresentation
bin10100101100011110…
…110100001110001000
32010100121221110101120
4110230132310032020
5331002101042300
614112551315240
71414442223450
oct245436641610
963317843346
1022221112200
119473269541
12438197bb20
1321318bba01
14110b29ad60
158a0c583a0
hex52c7b4388

22221112200 has 192 divisors, whose sum is σ = 80854527360. Its totient is φ = 4941803520.

The previous prime is 22221112157. The next prime is 22221112231. The reversal of 22221112200 is 221112222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22221112200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83904 + ... + 226896.

It is an arithmetic number, because the mean of its divisors is an integer number (421117330).

Almost surely, 222221112200 is an apocalyptic number.

22221112200 is a gapful number since it is divisible by the number (20) 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 22221112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40427263680).

22221112200 is an abundant number, since it is smaller than the sum of its proper divisors (58633415160).

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

22221112200 is a wasteful number, since it uses less digits than its factorization.

22221112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143056 (or 143047 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22221112200 its reverse (221112222), we get a palindrome (22442224422).

It can be divided in two parts, 22221 and 112200, that added together give a triangular number (134421 = T518).

The spelling of 22221112200 in words is "twenty-two billion, two hundred twenty-one million, one hundred twelve thousand, two hundred".