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2246137 = 29731061
BaseRepresentation
bin1000100100010111111001
311020010010021
420210113321
51033334022
6120050441
725043335
oct10442771
94203107
102246137
1112a4613
12903a21
1360849a
144267c5
152e57c7
hex2245f9

2246137 has 8 divisors (see below), whose sum is σ = 2357640. Its totient is φ = 2136960.

The previous prime is 2246129. The next prime is 2246141. The reversal of 2246137 is 7316422.

2246137 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 4 ways, for example, as 553536 + 1692601 = 744^2 + 1301^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2246137 - 23 = 2246129 is a prime.

It is a d-powerful number, because it can be written as 211 + 215 + 44 + 68 + 1 + 312 + 7 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246107) 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 7 ways as a sum of consecutive naturals, for example, 1587 + ... + 2647.

It is an arithmetic number, because the mean of its divisors is an integer number (294705).

22246137 is an apocalyptic number.

It is an amenable number.

2246137 is a deficient number, since it is larger than the sum of its proper divisors (111503).

2246137 is a wasteful number, since it uses less digits than its factorization.

2246137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163.

The product of its digits is 2016, while the sum is 25.

The square root of 2246137 is about 1498.7117801632. The cubic root of 2246137 is about 130.9620347221.

The spelling of 2246137 in words is "two million, two hundred forty-six thousand, one hundred thirty-seven".

Divisors: 1 29 73 1061 2117 30769 77453 2246137