Search a number
-
+
2222212000021 = 13293937622637
BaseRepresentation
bin100000010101100110001…
…010000010100100010101
321212102220202221001021221
4200111212022002210111
5242402042233000041
64420511535210341
7316356325224436
oct40254612024425
97772822831257
102222212000021
117874868173a2
122ba81a3769b1
13131727601810
14797ac93948d
153cc114aa2d1
hex20566282915

2222212000021 has 16 divisors (see below), whose sum is σ = 2403885771504. Its totient is φ = 2042086685184.

The previous prime is 2222212000009. The next prime is 2222212000051. The reversal of 2222212000021 is 1200002122222.

It can be written as a sum of positive squares in 8 ways, for example, as 315495656100 + 1906716343921 = 561690^2 + 1380839^2 .

It is not a de Polignac number, because 2222212000021 - 27 = 2222211999893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2222211999959 and 2222212000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222212000051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3257715 + ... + 3880351.

It is an arithmetic number, because the mean of its divisors is an integer number (150242860719).

Almost surely, 22222212000021 is an apocalyptic number.

It is an amenable number.

2222212000021 is a deficient number, since it is larger than the sum of its proper divisors (181673771483).

2222212000021 is a wasteful number, since it uses less digits than its factorization.

2222212000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623880.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2222212000021 its reverse (1200002122222), we get a palindrome (3422214122243).

It can be divided in two parts, 22222 and 12000021, that multiplied together give a palindrome (266664466662).

The spelling of 2222212000021 in words is "two trillion, two hundred twenty-two billion, two hundred twelve million, twenty-one", and thus it is an aban number.

Divisors: 1 13 293 937 3809 12181 274541 622637 3569033 8094281 182432641 583410869 2371624333 7584341297 170939384617 2222212000021