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2171345 = 51123797
BaseRepresentation
bin1000010010000111010001
311002022112012
420102013101
51023440340
6114312305
724312311
oct10220721
94068465
102171345
111253400
12888695
135b0427
14407441
152cd565
hex2121d1

2171345 has 24 divisors (see below), whose sum is σ = 2971752. Its totient is φ = 1520640.

The previous prime is 2171341. The next prime is 2171347. The reversal of 2171345 is 5431712.

It can be written as a sum of positive squares in 4 ways, for example, as 543169 + 1628176 = 737^2 + 1276^2 .

It is not a de Polignac number, because 2171345 - 22 = 2171341 is a prime.

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 2171345.

It is not an unprimeable number, because it can be changed into a prime (2171341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22337 + ... + 22433.

It is an arithmetic number, because the mean of its divisors is an integer number (123823).

22171345 is an apocalyptic number.

It is an amenable number.

2171345 is a deficient number, since it is larger than the sum of its proper divisors (800407).

2171345 is a wasteful number, since it uses less digits than its factorization.

2171345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 2171345 is about 1473.5484382944. The cubic root of 2171345 is about 129.4920017123.

The spelling of 2171345 in words is "two million, one hundred seventy-one thousand, three hundred forty-five".

Divisors: 1 5 11 37 55 97 121 185 407 485 605 1067 2035 3589 4477 5335 11737 17945 22385 39479 58685 197395 434269 2171345