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2212103322 = 23211132114073
BaseRepresentation
bin1000001111011010…
…0000010010011010
312201011110111021200
42003312200102122
514012244301242
61003301015030
7105550365552
oct20366402232
95634414250
102212103322
11a35746a70
125189b4476
132933ab6a0
1416db0c162
15ce30d04c
hex83da049a

2212103322 has 96 divisors (see below), whose sum is σ = 5658883776. Its totient is φ = 615686400.

The previous prime is 2212103317. The next prime is 2212103339. The reversal of 2212103322 is 2233012122.

It is a super-2 number, since 2×22121033222 = 9786802214406871368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2212103295 and 2212103304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541078 + ... + 545150.

It is an arithmetic number, because the mean of its divisors is an integer number (58946706).

Almost surely, 22212103322 is an apocalyptic number.

2212103322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212103322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829441888).

2212103322 is an abundant number, since it is smaller than the sum of its proper divisors (3446780454).

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

2212103322 is a wasteful number, since it uses less digits than its factorization.

2212103322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4313 counting only the distinct ones).

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

The square root of 2212103322 is about 47033.0024769842. The cubic root of 2212103322 is about 1302.9721586213.

Adding to 2212103322 its reverse (2233012122), we get a palindrome (4445115444).

The spelling of 2212103322 in words is "two billion, two hundred twelve million, one hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 211 234 286 422 429 633 858 1266 1287 1899 2321 2574 2743 3798 4073 4642 5486 6963 8146 8229 12219 13926 16458 20889 24438 24687 30173 36657 41778 44803 49374 52949 60346 73314 89606 90519 105898 134409 158847 181038 268818 271557 317694 403227 476541 543114 582439 806454 859403 953082 1164878 1718806 1747317 2578209 3494634 5156418 5241951 7734627 9453433 10483902 11172239 15469254 18906866 22344478 28360299 33516717 56720598 67033434 85080897 100550151 122894629 170161794 201100302 245789258 368683887 737367774 1106051661 2212103322