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2212122112 = 2939710883
BaseRepresentation
bin1000001111011010…
…0100111000000000
312201011111110001121
42003312210320000
514012300401422
61003301242024
7105550504414
oct20366447000
95634443047
102212122112
11a3575a0a2
12518a03314
132933b70c5
1416db14d44
15ce3138c7
hex83da4e00

2212122112 has 40 divisors (see below), whose sum is σ = 4431464136. Its totient is φ = 1103173632.

The previous prime is 2212122097. The next prime is 2212122113. The reversal of 2212122112 is 2112212122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212122113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 197823 + ... + 208705.

Almost surely, 22212122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215732068).

2212122112 is an abundant number, since it is smaller than the sum of its proper divisors (2219342024).

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

2212122112 is an equidigital number, since it uses as much as digits as its factorization.

2212122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11298 (or 11282 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 2212122112 is about 47033.2022299141. The cubic root of 2212122112 is about 1302.9758478368.

Adding to 2212122112 its reverse (2112212122), we get a palindrome (4324334234).

The spelling of 2212122112 in words is "two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 397 512 794 1588 3176 6352 10883 12704 21766 25408 43532 50816 87064 101632 174128 203264 348256 696512 1393024 2786048 4320551 5572096 8641102 17282204 34564408 69128816 138257632 276515264 553030528 1106061056 2212122112