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2172005 = 5111723101
BaseRepresentation
bin1000010010010001100101
311002100102122
420102101211
51024001010
6114315325
724314243
oct10222145
94070378
102172005
111253950
12888b45
135b0814
14407793
152cd855
hex212465

2172005 has 32 divisors (see below), whose sum is σ = 3172608. Its totient is φ = 1408000.

The previous prime is 2171999. The next prime is 2172007. The reversal of 2172005 is 5002712.

2172005 = T134 + T135 + ... + T248.

It is not a de Polignac number, because 2172005 - 24 = 2171989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21455 + ... + 21555.

It is an arithmetic number, because the mean of its divisors is an integer number (99144).

22172005 is an apocalyptic number.

It is an amenable number.

2172005 is a deficient number, since it is larger than the sum of its proper divisors (1000603).

2172005 is a wasteful number, since it uses less digits than its factorization.

2172005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 2172005 is about 1473.7723704833. The cubic root of 2172005 is about 129.5051204725.

2172005 divided by its sum of digits (17) gives a triangular number (127765 = T505).

Adding to 2172005 its reverse (5002712), we get a palindrome (7174717).

It can be divided in two parts, 217 and 2005, that added together give a palindrome (2222).

The spelling of 2172005 in words is "two million, one hundred seventy-two thousand, five".

Divisors: 1 5 11 17 23 55 85 101 115 187 253 391 505 935 1111 1265 1717 1955 2323 4301 5555 8585 11615 18887 21505 25553 39491 94435 127765 197455 434401 2172005