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212212122 = 2317323313
BaseRepresentation
bin11001010011000…
…01100110011010
3112210022111022020
430221201212122
5413311241442
633020235310
75154526143
oct1451414632
9483274266
10212212122
11a9874121
125b09bb36
1334c71a05
1420280aca
151396c9ec
hexca6199a

212212122 has 64 divisors (see below), whose sum is σ = 472055040. Its totient is φ = 63478272.

The previous prime is 212212093. The next prime is 212212123. The reversal of 212212122 is 221212212.

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 (212212123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 677838 + ... + 678150.

It is an arithmetic number, because the mean of its divisors is an integer number (7375860).

Almost surely, 2212212122 is an apocalyptic number.

212212122 is an abundant number, since it is smaller than the sum of its proper divisors (259842918).

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

212212122 is a wasteful number, since it uses less digits than its factorization.

212212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 358 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 212212122 is about 14567.5022567357. The cubic root of 212212122 is about 596.4720015937.

Adding to 212212122 its reverse (221212212), we get a palindrome (433424334).

The spelling of 212212122 in words is "two hundred twelve million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 289 313 391 578 626 782 867 939 1173 1734 1878 2346 4913 5321 6647 7199 9826 10642 13294 14398 14739 15963 19941 21597 29478 31926 39882 43194 90457 112999 122383 180914 225998 244766 271371 338997 367149 542742 677994 734298 1537769 2080511 3075538 4161022 4613307 6241533 9226614 12483066 35368687 70737374 106106061 212212122