Search a number
-
+
2214232324122 = 23721323412712267
BaseRepresentation
bin100000001110001010100…
…001111111100000011010
321211200022122202111211010
4200032022201333200122
5242234221433332442
64413112043114350
7315654512133300
oct40161241774032
97750278674733
102214232324122
11784061470825
122b9171b129b6
13130a553564c0
1479252c42270
153c8e5b76b9c
hex2038a87f81a

2214232324122 has 384 divisors, whose sum is σ = 5954655264768. Its totient is φ = 542708812800.

The previous prime is 2214232324067. The next prime is 2214232324141.

2214232324122 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2214232324122.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 976722433 + ... + 976724699.

It is an arithmetic number, because the mean of its divisors is an integer number (15506914752).

Almost surely, 22214232324122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214232324122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977327632384).

2214232324122 is an abundant number, since it is smaller than the sum of its proper divisors (3740422940646).

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

2214232324122 is a wasteful number, since it uses less digits than its factorization.

2214232324122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2627 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The spelling of 2214232324122 in words is "two trillion, two hundred fourteen billion, two hundred thirty-two million, three hundred twenty-four thousand, one hundred twenty-two".