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2112162 = 231322083
BaseRepresentation
bin1000000011101010100010
310222022100020
420003222202
51020042122
6113134310
723644623
oct10035242
93868306
102112162
111212998
1285a396
1358c500
143cda4a
152bac5c
hex203aa2

2112162 has 24 divisors (see below), whose sum is σ = 4576464. Its totient is φ = 649584.

The previous prime is 2112161. The next prime is 2112169. The reversal of 2112162 is 2612112.

It is a super-2 number, since 2×21121622 = 8922456628488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2112161) 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, 28 + ... + 2055.

It is an arithmetic number, because the mean of its divisors is an integer number (190686).

22112162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288232).

2112162 is an abundant number, since it is smaller than the sum of its proper divisors (2464302).

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

2112162 is a wasteful number, since it uses less digits than its factorization.

2112162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2101 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 2112162 is about 1453.3279051886. The cubic root of 2112162 is about 128.3046535488.

Adding to 2112162 its reverse (2612112), we get a palindrome (4724274).

The spelling of 2112162 in words is "two million, one hundred twelve thousand, one hundred sixty-two".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2083 4166 6249 12498 27079 54158 81237 162474 352027 704054 1056081 2112162