Search a number
-
+
2117112 = 233175189
BaseRepresentation
bin1000000100110111111000
310222120010120
420010313320
51020221422
6113213240
723665224
oct10046770
93876116
102117112
111216688
12861220
1359183a
143d1784
152bc45c
hex204df8

2117112 has 32 divisors (see below), whose sum is σ = 5605200. Its totient is φ = 664064.

The previous prime is 2117099. The next prime is 2117119.

2117112 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2117091 and 2117100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117119) 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, 2187 + ... + 3002.

22117112 is an apocalyptic number.

It is an amenable number.

2117112 is an abundant number, since it is smaller than the sum of its proper divisors (3488088).

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

2117112 is a wasteful number, since it uses less digits than its factorization.

2117112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5211 counting only the distinct ones).

The product of its digits is 28, while the sum is 15.

The square root of 2117112 is about 1455.0298966001. The cubic root of 2117112 is about 128.4048056741.

The spelling of 2117112 in words is "two million, one hundred seventeen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 5189 10378 15567 20756 31134 41512 62268 88213 124536 176426 264639 352852 529278 705704 1058556 2117112