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2112123204 = 223264191529
BaseRepresentation
bin111110111100100…
…0111000101000100
312110012022222100100
41331321013011010
513311200420304
6545330044100
7103224515412
oct17571070504
95405288310
102112123204
11994269474
124ab419630
13278773c59
141607242b2
15c565e439
hex7de47144

2112123204 has 36 divisors (see below), whose sum is σ = 5347365660. Its totient is φ = 702935040.

The previous prime is 2112123203. The next prime is 2112123227. The reversal of 2112123204 is 4023212112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 855562500 + 1256560704 = 29250^2 + 35448^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21121232042 = 8922128857750451232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2112123203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22689 + ... + 68840.

It is an arithmetic number, because the mean of its divisors is an integer number (148537935).

Almost surely, 22112123204 is an apocalyptic number.

It is an amenable number.

2112123204 is an abundant number, since it is smaller than the sum of its proper divisors (3235242456).

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

2112123204 is a wasteful number, since it uses less digits than its factorization.

2112123204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92180 (or 92175 counting only the distinct ones).

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

The square root of 2112123204 is about 45957.8415942263. The cubic root of 2112123204 is about 1283.0386798124.

Adding to 2112123204 its reverse (4023212112), we get a palindrome (6135335316).

It can be divided in two parts, 2112 and 123204, that added together give a square (125316 = 3542).

The spelling of 2112123204 in words is "two billion, one hundred twelve million, one hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 641 1282 1923 2564 3846 5769 7692 11538 23076 91529 183058 274587 366116 549174 823761 1098348 1647522 3295044 58670089 117340178 176010267 234680356 352020534 528030801 704041068 1056061602 2112123204