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2164014 = 232120223
BaseRepresentation
bin1000010000010100101110
311001221110200
420100110232
51023222024
6114214330
724252036
oct10202456
94057420
102164014
111248946
128843a6
135a9ca8
144048c6
152cb2c9
hex21052e

2164014 has 12 divisors (see below), whose sum is σ = 4688736. Its totient is φ = 721332.

The previous prime is 2164013. The next prime is 2164031. The reversal of 2164014 is 4104612.

2164014 is a `hidden beast` number, since 21 + 640 + 1 + 4 = 666.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 120223 = 2164014 / (2 + 1 + 6 + 4 + 0 + 1 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60094 + ... + 60129.

It is an arithmetic number, because the mean of its divisors is an integer number (390728).

22164014 is an apocalyptic number.

2164014 is an abundant number, since it is smaller than the sum of its proper divisors (2524722).

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

2164014 is a wasteful number, since it uses less digits than its factorization.

2164014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120231 (or 120228 counting only the distinct ones).

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

The square root of 2164014 is about 1471.0588023597. The cubic root of 2164014 is about 129.3461050082.

Adding to 2164014 its reverse (4104612), we get a palindrome (6268626).

The spelling of 2164014 in words is "two million, one hundred sixty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 120223 240446 360669 721338 1082007 2164014