Search a number
-
+
2212332031 = 713193312577
BaseRepresentation
bin1000001111011101…
…1000000111111111
312201011220010000101
42003313120013333
514012324111111
61003305541531
7105552340420
oct20367300777
95634803011
102212332031
11a35892888
12518aa48a7
1329345b810
1416db6b647
15ce355bc1
hex83dd81ff

2212332031 has 16 divisors (see below), whose sum is σ = 2724495424. Its totient is φ = 1749371904.

The previous prime is 2212332029. The next prime is 2212332047. The reversal of 2212332031 is 1302332122.

It is not a de Polignac number, because 2212332031 - 21 = 2212332029 is a prime.

It is a super-2 number, since 2×22123320312 = 9788826030777169922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212332011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169615 + ... + 182191.

It is an arithmetic number, because the mean of its divisors is an integer number (170280964).

Almost surely, 22212332031 is an apocalyptic number.

2212332031 is a deficient number, since it is larger than the sum of its proper divisors (512163393).

2212332031 is a wasteful number, since it uses less digits than its factorization.

2212332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14530.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2212332031 is about 47035.4337813525. The cubic root of 2212332031 is about 1303.0170617665.

Adding to 2212332031 its reverse (1302332122), we get a palindrome (3514664153).

Subtracting from 2212332031 its reverse (1302332122), we obtain a palindrome (909999909).

The spelling of 2212332031 in words is "two billion, two hundred twelve million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 7 13 91 1933 12577 13531 25129 88039 163501 175903 1144507 24311341 170179387 316047433 2212332031