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2222212122 = 23213311132711
BaseRepresentation
bin1000010001110100…
…0100010000011010
312201212111001221200
42010131010100122
514022341241442
61004301415030
7106032330354
oct20435042032
95655431850
102222212122
11a40420949
1252026a476
1329550a920
141711c00d4
15d015834c
hex8474441a

2222212122 has 96 divisors (see below), whose sum is σ = 5401783296. Its totient is φ = 655603200.

The previous prime is 2222212117. The next prime is 2222212129. The reversal of 2222212122 is 2212122222.

It is a super-3 number, since 3×22222121223 (a number of 29 digits) contains 333 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 a junction number, because it is equal to n+sod(n) for n = 2222212095 and 2222212104.

It is not an unprimeable number, because it can be changed into a prime (2222212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818347 + ... + 821057.

It is an arithmetic number, because the mean of its divisors is an integer number (56268576).

Almost surely, 22222212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700891648).

2222212122 is an abundant number, since it is smaller than the sum of its proper divisors (3179571174).

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

2222212122 is a wasteful number, since it uses less digits than its factorization.

2222212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2873 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2222212122 is about 47140.3449499471. The cubic root of 2222212122 is about 1304.9539033350.

Adding to 2222212122 its reverse (2212122222), we get a palindrome (4434334344).

The spelling of 2222212122 in words is "two billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 113 117 186 226 234 279 339 403 558 678 806 1017 1209 1469 2034 2418 2711 2938 3503 3627 4407 5422 7006 7254 8133 8814 10509 13221 16266 21018 24399 26442 31527 35243 45539 48798 63054 70486 84041 91078 105729 136617 168082 211458 252123 273234 306343 317187 409851 504246 612686 634374 756369 819702 919029 1092533 1512738 1838058 2185066 2757087 3277599 3982459 5514174 6555198 7964918 9496633 9832797 11947377 18993266 19665594 23894754 28489899 35842131 56979798 71684262 85469697 123456229 170939394 246912458 370368687 740737374 1111106061 2222212122