Search a number
-
+
2210220012 = 22371113374973
BaseRepresentation
bin1000001110111101…
…0100011111101100
312201000220210212110
42003233110133230
514011304020022
61003152404020
7105525363060
oct20357243754
95630823773
102210220012
11a34680010
12518246610
13292b9c3c0
1416d77baa0
15ce08a00c
hex83bd47ec

2210220012 has 192 divisors, whose sum is σ = 7112899584. Its totient is φ = 515496960.

The previous prime is 2210219993. The next prime is 2210220043. The reversal of 2210220012 is 2100220122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2210220012.

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, 441958 + ... + 446930.

It is an arithmetic number, because the mean of its divisors is an integer number (37046352).

Almost surely, 22210220012 is an apocalyptic number.

2210220012 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 2210220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556449792).

2210220012 is an abundant number, since it is smaller than the sum of its proper divisors (4902679572).

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

2210220012 is a wasteful number, since it uses less digits than its factorization.

2210220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2210220012 is about 47012.9770595311. The cubic root of 2210220012 is about 1302.6022848168.

Adding to 2210220012 its reverse (2100220122), we get a palindrome (4310440134).

It can be divided in two parts, 2210 and 220012, that added together give a palindrome (222222).

The spelling of 2210220012 in words is "two billion, two hundred ten million, two hundred twenty thousand, twelve".