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2212210112 = 26723321193
BaseRepresentation
bin1000001111011011…
…1010010111000000
312201011122220202212
42003312322113000
514012311210422
61003303201252
7105551322110
oct20366722700
95634586685
102212210112
11a3580a222
12518a46228
13293418188
1416db39040
15ce32e9e2
hex83dba5c0

2212210112 has 56 divisors (see below), whose sum is σ = 5038746336. Its totient is φ = 943976448.

The previous prime is 2212210111. The next prime is 2212210123. The reversal of 2212210112 is 2110122122.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212210111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93788 + ... + 114980.

Almost surely, 22212210112 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 2212210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519373168).

2212210112 is an abundant number, since it is smaller than the sum of its proper divisors (2826536224).

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

2212210112 is a wasteful number, since it uses less digits than its factorization.

2212210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21445 (or 21435 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2212210112 is about 47034.1377299510. The cubic root of 2212210112 is about 1302.9931254174.

Adding to 2212210112 its reverse (2110122122), we get a palindrome (4322332234).

The spelling of 2212210112 in words is "two billion, two hundred twelve million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 233 448 466 932 1631 1864 3262 3728 6524 7456 13048 14912 21193 26096 42386 52192 84772 104384 148351 169544 296702 339088 593404 678176 1186808 1356352 2373616 4747232 4937969 9494464 9875938 19751876 34565783 39503752 69131566 79007504 138263132 158015008 276526264 316030016 553052528 1106105056 2212210112