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212222106 = 2311599
BaseRepresentation
bin11001010011001…
…00000010011010
3112210100000000000
430221210002122
5413312101411
633020353430
75154600225
oct1451440232
9483300000
10212222106
11a9880678
125b0a5876
1334c76415
14202845bc
1513970956
hexca6409a

212222106 has 48 divisors (see below), whose sum is σ = 478296000. Its totient is φ = 70622604.

The previous prime is 212222099. The next prime is 212222113. The reversal of 212222106 is 601222212.

It is an interprime number because it is at equal distance from previous prime (212222099) and next prime (212222113).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 353995 + ... + 354593.

It is an arithmetic number, because the mean of its divisors is an integer number (9964500).

Almost surely, 2212222106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212222106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239148000).

212222106 is an abundant number, since it is smaller than the sum of its proper divisors (266073894).

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

212222106 is an frugal number, since it uses more digits than its factorization.

212222106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 604 counting only the distinct ones).

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

The square root of 212222106 is about 14567.8449332769. The cubic root of 212222106 is about 596.4813555725.

Adding to 212222106 its reverse (601222212), we get a palindrome (813444318).

The spelling of 212222106 in words is "two hundred twelve million, two hundred twenty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 599 729 1198 1458 1797 2187 3594 4374 5391 6561 10782 13122 16173 19683 32346 39366 48519 59049 97038 118098 145557 177147 291114 354294 436671 873342 1310013 2620026 3930039 7860078 11790117 23580234 35370351 70740702 106111053 212222106