Search a number
-
+
2222222001012 = 22331317107870137
BaseRepresentation
bin100000010101100110110…
…000001100001101110100
321212102221110202011002000
4200111212300030031310
5242402102313013022
64420512533415300
7316356506230026
oct40254660141564
97772843664060
102222222001012
11787491428282
122ba82179a530
131317296c3970
14797addc0016
153cc122d36ac
hex20566c0c374

2222222001012 has 192 divisors, whose sum is σ = 6630869226240. Its totient is φ = 637524283392.

The previous prime is 2222222000993. The next prime is 2222222001031. The reversal of 2222222001012 is 2101002222222.

2222222001012 is a `hidden beast` number, since 222 + 222 + 200 + 10 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (2222222000993) and next prime (2222222001031).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2118808 + ... + 2988944.

It is an arithmetic number, because the mean of its divisors is an integer number (34535777220).

Almost surely, 22222222001012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222222001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315434613120).

2222222001012 is an abundant number, since it is smaller than the sum of its proper divisors (4408647225228).

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

2222222001012 is a wasteful number, since it uses less digits than its factorization.

2222222001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870287 (or 870279 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2222222001012 its reverse (2101002222222), we get a palindrome (4323224223234).

The spelling of 2222222001012 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-two million, one thousand, twelve".