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2146212 = 223259617
BaseRepresentation
bin1000001011111110100100
311001001001100
420023332210
51022134322
6114000100
724146115
oct10137644
94031040
102146212
111236532
12876030
135a1b63
143dc20c
152c5dac
hex20bfa4

2146212 has 18 divisors (see below), whose sum is σ = 5425238. Its totient is φ = 715392.

The previous prime is 2146201. The next prime is 2146213. The reversal of 2146212 is 2126412.

2146212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 2916 = 1464^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

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

It is not an unprimeable number, because it can be changed into a prime (2146213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29773 + ... + 29844.

22146212 is an apocalyptic number.

It is an amenable number.

2146212 is an abundant number, since it is smaller than the sum of its proper divisors (3279026).

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

2146212 is a wasteful number, since it uses less digits than its factorization.

2146212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59627 (or 59622 counting only the distinct ones).

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

The square root of 2146212 is about 1464.9955631332. The cubic root of 2146212 is about 128.9904445780.

The spelling of 2146212 in words is "two million, one hundred forty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59617 119234 178851 238468 357702 536553 715404 1073106 2146212