Search a number
-
+
2311222212 = 2232134938509
BaseRepresentation
bin1000100111000010…
…0111001111000100
312222001222020211200
42021300213033010
514213133102322
61021201302500
7111163031115
oct21160471704
95861866750
102311222212
11a86696502
12546034a30
132aaaa4110
1417cd5020c
15d7d8b8ac
hex89c273c4

2311222212 has 36 divisors (see below), whose sum is σ = 6291661740. Its totient is φ = 711145152.

The previous prime is 2311222211. The next prime is 2311222237. The reversal of 2311222212 is 2122221132.

2311222212 is a `hidden beast` number, since 231 + 1 + 222 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1566259776 + 744962436 = 39576^2 + 27294^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×23112222122 = 10683496226484345888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2311222211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2468787 + ... + 2469722.

Almost surely, 22311222212 is an apocalyptic number.

It is an amenable number.

2311222212 is an abundant number, since it is smaller than the sum of its proper divisors (3980439528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2311222212 is a wasteful number, since it uses less digits than its factorization.

2311222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938532 (or 4938527 counting only the distinct ones).

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

The square root of 2311222212 is about 48075.1725113909. The cubic root of 2311222212 is about 1322.1495074523.

Adding to 2311222212 its reverse (2122221132), we get a palindrome (4433443344).

The spelling of 2311222212 in words is "two billion, three hundred eleven million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4938509 9877018 14815527 19754036 29631054 44446581 59262108 64200617 88893162 128401234 177786324 192601851 256802468 385203702 577805553 770407404 1155611106 2311222212