Search a number
-
+
2114401122 = 232117466729
BaseRepresentation
bin111111000000111…
…0011001101100010
312110100121201001200
41332001303031202
513312241313442
6545450542030
7103253053521
oct17601631542
95410551050
102114401122
11995584949
124b0137916
13279090a32
14160b584b8
15c595e34c
hex7e073362

2114401122 has 12 divisors (see below), whose sum is σ = 4581202470. Its totient is φ = 704800368.

The previous prime is 2114401103. The next prime is 2114401123. The reversal of 2114401122 is 2211044112.

2114401122 is a `hidden beast` number, since 211 + 440 + 1 + 12 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2113148961 + 1252161 = 45969^2 + 1119^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 117466729 = 2114401122 / (2 + 1 + 1 + 4 + 4 + 0 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 2114401095 and 2114401104.

It is not an unprimeable number, because it can be changed into a prime (2114401123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58733347 + ... + 58733382.

Almost surely, 22114401122 is an apocalyptic number.

2114401122 is an abundant number, since it is smaller than the sum of its proper divisors (2466801348).

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

2114401122 is a wasteful number, since it uses less digits than its factorization.

2114401122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117466737 (or 117466734 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2114401122 is about 45982.6176070915. The cubic root of 2114401122 is about 1283.4997651057.

Adding to 2114401122 its reverse (2211044112), we get a palindrome (4325445234).

The spelling of 2114401122 in words is "two billion, one hundred fourteen million, four hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 117466729 234933458 352400187 704800374 1057200561 2114401122