Search a number
-
+
2232002013 = 312727721149
BaseRepresentation
bin1000010100001001…
…1010010111011101
312202112220110011020
42011002122113131
514032343031023
61005251314353
7106211463333
oct20502322735
95675813136
102232002013
11a459a816a
125235ab9b9
13297557967
1417260bb53
15d0e3dde3
hex8509a5dd

2232002013 has 16 divisors (see below), whose sum is σ = 3010406400. Its totient is φ = 1470885696.

The previous prime is 2232002009. The next prime is 2232002051. The reversal of 2232002013 is 3102002322.

It is not a de Polignac number, because 2232002013 - 22 = 2232002009 is a prime.

It is a super-3 number, since 3×22320020133 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232001983 and 2232002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232002413) 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, 94963 + ... + 116111.

It is an arithmetic number, because the mean of its divisors is an integer number (188150400).

Almost surely, 22232002013 is an apocalyptic number.

It is an amenable number.

2232002013 is a deficient number, since it is larger than the sum of its proper divisors (778404387).

2232002013 is a wasteful number, since it uses less digits than its factorization.

2232002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21556.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2232002013 is about 47244.0685483374. The cubic root of 2232002013 is about 1306.8674082972.

Adding to 2232002013 its reverse (3102002322), we get a palindrome (5334004335).

The spelling of 2232002013 in words is "two billion, two hundred thirty-two million, two thousand, thirteen".

Divisors: 1 3 127 277 381 831 21149 35179 63447 105537 2685923 5858273 8057769 17574819 744000671 2232002013