Search a number
-
+
2013440022 = 2321110168889
BaseRepresentation
bin111100000000010…
…1010100000010110
312012022122100110200
41320000222200112
513110420040042
6531443001330
7100615646346
oct17000524026
95168570420
102013440022
11943597320
12482369246
132611a1939
14151596d26
15bbb69c4c
hex7802a816

2013440022 has 24 divisors (see below), whose sum is σ = 4759040520. Its totient is φ = 610133280.

The previous prime is 2013440021. The next prime is 2013440047. The reversal of 2013440022 is 2200443102.

2013440022 is a `hidden beast` number, since 201 + 3 + 440 + 0 + 22 = 666.

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 = 2013439977 and 2013440004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013440021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5084247 + ... + 5084642.

It is an arithmetic number, because the mean of its divisors is an integer number (198293355).

Almost surely, 22013440022 is an apocalyptic number.

2013440022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2013440022 is an abundant number, since it is smaller than the sum of its proper divisors (2745600498).

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

2013440022 is a wasteful number, since it uses less digits than its factorization.

2013440022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168908 (or 10168905 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2013440022 is about 44871.3719647617. The cubic root of 2013440022 is about 1262.7369793620.

Adding to 2013440022 its reverse (2200443102), we get a palindrome (4213883124).

The spelling of 2013440022 in words is "two billion, thirteen million, four hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 10168889 20337778 30506667 61013334 91520001 111857779 183040002 223715558 335573337 671146674 1006720011 2013440022