Search a number
-
+
2242162612422 = 2321123110921273
BaseRepresentation
bin100000101000001011010…
…011100101100011000110
321221100102011112011111100
4200220023103211203012
5243213422112044142
64434011342120530
7320663610514245
oct40501323454306
97840364464440
102242162612422
11794994383817
12302667880146
131335869a6a05
147a74244695c
153d4ccc1cb4c
hex20a0b4e58c6

2242162612422 has 24 divisors (see below), whose sum is σ = 4862344967064. Its totient is φ = 746722003104.

The previous prime is 2242162612411. The next prime is 2242162612427.

2242162612422 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 1 + 626 + 1 + 2 + 4 + 22 = 666.

2242162612422 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242162612427) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55440423 + ... + 55480850.

It is an arithmetic number, because the mean of its divisors is an integer number (202597706961).

Almost surely, 22242162612422 is an apocalyptic number.

2242162612422 is an abundant number, since it is smaller than the sum of its proper divisors (2620182354642).

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

2242162612422 is a wasteful number, since it uses less digits than its factorization.

2242162612422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110922404 (or 110922401 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 2242162612422 in words is "two trillion, two hundred forty-two billion, one hundred sixty-two million, six hundred twelve thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 1123 2246 3369 6738 10107 20214 110921273 221842546 332763819 665527638 998291457 1996582914 124564589579 249129179158 373693768737 747387537474 1121081306211 2242162612422