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2214004122 = 2321111181839
BaseRepresentation
bin1000001111110111…
…0000010110011010
312201022001001200200
42003331300112122
514013241112442
61003405443030
7105602503341
oct20375602632
95638031620
102214004122
11a36825080
12519570476
132938c5915
14170084b58
15ce58634c
hex83f7059a

2214004122 has 24 divisors (see below), whose sum is σ = 5233101120. Its totient is φ = 670910280.

The previous prime is 2214004103. The next prime is 2214004123.

2214004122 is a `hidden beast` number, since 221 + 400 + 41 + 2 + 2 = 666.

2214004122 is nontrivially palindromic in base 10.

2214004122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2214004095 and 2214004104.

It is not an unprimeable number, because it can be changed into a prime (2214004123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5590722 + ... + 5591117.

It is an arithmetic number, because the mean of its divisors is an integer number (218045880).

Almost surely, 22214004122 is an apocalyptic number.

2214004122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2214004122 is an abundant number, since it is smaller than the sum of its proper divisors (3019096998).

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

2214004122 is a wasteful number, since it uses less digits than its factorization.

2214004122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11181858 (or 11181855 counting only the distinct ones).

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

The square root of 2214004122 is about 47053.2052255742. The cubic root of 2214004122 is about 1303.3452545807.

It can be divided in two parts, 221400 and 4122, that added together give a palindrome (225522).

The spelling of 2214004122 in words is "two billion, two hundred fourteen million, four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 11181839 22363678 33545517 67091034 100636551 123000229 201273102 246000458 369000687 738001374 1107002061 2214004122