Search a number
-
+
2212310220 = 22351983103227
BaseRepresentation
bin1000001111011101…
…0010110011001100
312201011212000002120
42003313102303030
514012322411340
61003305252540
7105552220011
oct20367226314
95634760076
102212310220
11a3587845a
12518a94150
13293451903
1416db63708
15ce34e4d0
hex83dd2ccc

2212310220 has 192 divisors, whose sum is σ = 6692474880. Its totient is φ = 544396032.

The previous prime is 2212310203. The next prime is 2212310273. The reversal of 2212310220 is 220132122.

It is a happy number.

2212310220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2212310220.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9745747 + ... + 9745973.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 22212310220 is an apocalyptic number.

2212310220 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 2212310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346237440).

2212310220 is an abundant number, since it is smaller than the sum of its proper divisors (4480164660).

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

2212310220 is a wasteful number, since it uses less digits than its factorization.

2212310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2212310220 is about 47035.2019236656. The cubic root of 2212310220 is about 1303.0127796789.

Adding to 2212310220 its reverse (220132122), we get a palindrome (2432442342).

The spelling of 2212310220 in words is "two billion, two hundred twelve million, three hundred ten thousand, two hundred twenty".