Search a number
-
+
2232200332131 = 372111380457843
BaseRepresentation
bin100000011110111001100…
…000100000001101100011
321220101200212201220002020
4200132321200200031203
5243033021241112011
64425243023552523
7320162001522300
oct40367140401543
97811625656066
102232200332131
11790741992120
1230074745b743
13132659a651c3
147a0793020a7
153d0e8311006
hex207b9820363

2232200332131 has 24 divisors (see below), whose sum is σ = 3776932661184. Its totient is φ = 1159584587280.

The previous prime is 2232200332111. The next prime is 2232200332151. The reversal of 2232200332131 is 1312330022322.

It is an interprime number because it is at equal distance from previous prime (2232200332111) and next prime (2232200332151).

It is not a de Polignac number, because 2232200332131 - 26 = 2232200332067 is a prime.

It is a super-3 number, since 3×22322003321313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2232200332111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690227305 + ... + 690230538.

It is an arithmetic number, because the mean of its divisors is an integer number (157372194216).

Almost surely, 22232200332131 is an apocalyptic number.

2232200332131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2232200332131 is a deficient number, since it is larger than the sum of its proper divisors (1544732329053).

2232200332131 is a wasteful number, since it uses less digits than its factorization.

2232200332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380457871 (or 1380457864 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2232200332131 its reverse (1312330022322), we get a palindrome (3544530354453).

The spelling of 2232200332131 in words is "two trillion, two hundred thirty-two billion, two hundred million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 1380457843 4141373529 9663204901 15185036273 28989614703 45555108819 67642434307 106295253911 202927302921 318885761733 744066777377 2232200332131