Search a number
-
+
22203212031 = 32711132464559
BaseRepresentation
bin10100101011011010…
…100010000011111111
32010022101021000222100
4110223122202003333
5330433010241111
614111111520143
71414134121410
oct245332420377
963271230870
1022203212031
119464152910
124377989053
13212ac922b0
141108b5b807
1589e3be756
hex52b6a20ff

22203212031 has 48 divisors (see below), whose sum is σ = 43060792320. Its totient is φ = 10646890560.

The previous prime is 22203212027. The next prime is 22203212047. The reversal of 22203212031 is 13021230222.

It is not a de Polignac number, because 22203212031 - 22 = 22203212027 is a prime.

It is a super-2 number, since 2×222032120312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22203211995 and 22203212013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22203212011) 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 47 ways as a sum of consecutive naturals, for example, 1223271 + ... + 1241288.

It is an arithmetic number, because the mean of its divisors is an integer number (897099840).

Almost surely, 222203212031 is an apocalyptic number.

22203212031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22203212031 is a deficient number, since it is larger than the sum of its proper divisors (20857580289).

22203212031 is a wasteful number, since it uses less digits than its factorization.

22203212031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464596 (or 2464593 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22203212031 its reverse (13021230222), we get a palindrome (35224442253).

The spelling of 22203212031 in words is "twenty-two billion, two hundred three million, two hundred twelve thousand, thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 2464559 7393677 17251913 22181031 27110149 32039267 51755739 81330447 96117801 155267217 189771043 224274869 243991341 288353403 352431937 569313129 672824607 1057295811 1707939387 2018473821 2467023559 3171887433 7401070677 22203212031