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2112120222 = 231723900307
BaseRepresentation
bin111110111100100…
…0110010110011110
312110012022211020220
41331321012112132
513311200321342
6545330022210
7103224503622
oct17571062636
95405284226
102112120222
11994267203
124ab417966
132787727a4
14160723182
15c565d5ec
hex7de4659e

2112120222 has 32 divisors (see below), whose sum is σ = 4667196672. Its totient is φ = 633815424.

The previous prime is 2112120191. The next prime is 2112120223. The reversal of 2112120222 is 2220212112.

It is a super-3 number, since 3×21121202223 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447808 + ... + 452499.

It is an arithmetic number, because the mean of its divisors is an integer number (145849896).

Almost surely, 22112120222 is an apocalyptic number.

2112120222 is an abundant number, since it is smaller than the sum of its proper divisors (2555076450).

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

2112120222 is a wasteful number, since it uses less digits than its factorization.

2112120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900352.

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

The square root of 2112120222 is about 45957.8091514380. The cubic root of 2112120222 is about 1283.0380759930.

Adding to 2112120222 its reverse (2220212112), we get a palindrome (4332332334).

The spelling of 2112120222 in words is "two billion, one hundred twelve million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 391 782 1173 2346 900307 1800614 2700921 5401842 15305219 20707061 30610438 41414122 45915657 62121183 91831314 124242366 352020037 704040074 1056060111 2112120222