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2122212231 = 34232334889
BaseRepresentation
bin111111001111110…
…0110001110000111
312110220022112220000
41332133212032013
513321241242411
6550330212343
7103406335446
oct17637461607
95426275800
102122212231
11999a2a507
124b28840b3
1327a8971a9
14161bccd5d
15c64a3956
hex7e7e6387

2122212231 has 40 divisors (see below), whose sum is σ = 3322931040. Its totient is φ = 1347211008.

The previous prime is 2122212227. The next prime is 2122212259. The reversal of 2122212231 is 1322122212.

2122212231 is a `hidden beast` number, since 212 + 221 + 2 + 231 = 666.

It is not a de Polignac number, because 2122212231 - 22 = 2122212227 is a prime.

It is a super-2 number, since 2×21222122312 = 9007569506811994722, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122212271) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 431635 + ... + 436523.

It is an arithmetic number, because the mean of its divisors is an integer number (83073276).

Almost surely, 22122212231 is an apocalyptic number.

2122212231 is a deficient number, since it is larger than the sum of its proper divisors (1200718809).

2122212231 is a wasteful number, since it uses less digits than its factorization.

2122212231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5148 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2122212231 is about 46067.4747625697. The cubic root of 2122212231 is about 1285.0783423094.

Adding to 2122212231 its reverse (1322122212), we get a palindrome (3444334443).

The spelling of 2122212231 in words is "two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 23 27 69 81 207 233 621 699 1863 2097 4889 5359 6291 14667 16077 18873 44001 48231 112447 132003 144693 337341 396009 434079 1012023 1139137 3036069 3417411 9108207 10252233 26200151 30756699 78600453 92270097 235801359 707404077 2122212231