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2114116 = 227272
BaseRepresentation
bin1000000100001001000100
310222102000121
420010021010
51020122431
6113151324
723653414
oct10041104
93872017
102114116
111214404
1285b544
13590374
143d0644
152bb611
hex204244

2114116 has 9 divisors (see below), whose sum is σ = 3704799. Its totient is φ = 1055604.

The previous prime is 2114113. The next prime is 2114141. The reversal of 2114116 is 6114112.

The square root of 2114116 is 1454.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×21141162 = 8938972922912, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2114116.

It is not an unprimeable number, because it can be changed into a prime (2114113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2545 + ... + 3271.

22114116 is an apocalyptic number.

2114116 is the 1454-th square number.

It is an amenable number.

2114116 is a deficient number, since it is larger than the sum of its proper divisors (1590683).

2114116 is an frugal number, since it uses more digits than its factorization.

2114116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 729 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The cubic root of 2114116 is about 128.3442070208.

Multiplying 2114116 by its sum of digits (16), we get a square (33825856 = 58162).

Adding to 2114116 its reverse (6114112), we get a palindrome (8228228).

The spelling of 2114116 in words is "two million, one hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 4 727 1454 2908 528529 1057058 2114116