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2166361 = 17192353
BaseRepresentation
bin1000010000111001011001
311002001200121
420100321121
51023310421
6114233241
724261631
oct10207131
94061617
102166361
11124a68a
12885821
135ab092
144056c1
152cbd41
hex210e59

2166361 has 12 divisors (see below), whose sum is σ = 2427732. Its totient is φ = 1926144.

The previous prime is 2166319. The next prime is 2166403. The reversal of 2166361 is 1636612.

It is an interprime number because it is at equal distance from previous prime (2166319) and next prime (2166403).

It can be written as a sum of positive squares in 2 ways, for example, as 1299600 + 866761 = 1140^2 + 931^2 .

It is not a de Polignac number, because 2166361 - 27 = 2166233 is a prime.

It is a Duffinian number.

2166361 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166161) 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, 5961 + ... + 6313.

It is an arithmetic number, because the mean of its divisors is an integer number (202311).

22166361 is an apocalyptic number.

It is an amenable number.

2166361 is a deficient number, since it is larger than the sum of its proper divisors (261371).

2166361 is a wasteful number, since it uses less digits than its factorization.

2166361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 389 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 2166361 is about 1471.8563109217. The cubic root of 2166361 is about 129.3928492569.

The spelling of 2166361 in words is "two million, one hundred sixty-six thousand, three hundred sixty-one".

Divisors: 1 17 19 323 353 361 6001 6137 6707 114019 127433 2166361