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122212422 = 23317671987
BaseRepresentation
bin1110100100011…
…01000001000110
322111222000221000
413102031001012
5222241244142
620043234130
73012534303
oct722150106
9274860830
10122212422
1162a93002
1234b18946
131c41cc57
14123340aa
15aae114c
hex748d046

122212422 has 64 divisors (see below), whose sum is σ = 291997440. Its totient is φ = 37749888.

The previous prime is 122212421. The next prime is 122212451. The reversal of 122212422 is 224212221.

It is a super-2 number, since 2×1222124222 = 29871752182212168, 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 = 122212395 and 122212404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212421) 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 31 ways as a sum of consecutive naturals, for example, 60513 + ... + 62499.

It is an arithmetic number, because the mean of its divisors is an integer number (4562460).

Almost surely, 2122212422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122212422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145998720).

122212422 is an abundant number, since it is smaller than the sum of its proper divisors (169785018).

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

122212422 is a wasteful number, since it uses less digits than its factorization.

122212422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2076 counting only the distinct ones).

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

The square root of 122212422 is about 11054.9727272391. The cubic root of 122212422 is about 496.2552530919.

Adding to 122212422 its reverse (224212221), we get a palindrome (346424643).

The spelling of 122212422 in words is "one hundred twenty-two million, two hundred twelve thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 67 102 134 153 201 306 402 459 603 918 1139 1206 1809 1987 2278 3417 3618 3974 5961 6834 10251 11922 17883 20502 30753 33779 35766 53649 61506 67558 101337 107298 133129 202674 266258 304011 399387 608022 798774 912033 1198161 1824066 2263193 2396322 3594483 4526386 6789579 7188966 13579158 20368737 40737474 61106211 122212422