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2172313 = 112131381
BaseRepresentation
bin1000010010010110011001
311002100212001
420102112121
51024003223
6114321001
724315163
oct10222631
94070761
102172313
111254100
12889161
135b09c0
14407933
152cd9ad
hex212599

2172313 has 12 divisors (see below), whose sum is σ = 2573284. Its totient is φ = 1821600.

The previous prime is 2172283. The next prime is 2172323. The reversal of 2172313 is 3132712.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 1545049 = 792^2 + 1243^2 .

It is not a de Polignac number, because 2172313 - 213 = 2164121 is a prime.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172323) 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, 883 + ... + 2263.

22172313 is an apocalyptic number.

It is an amenable number.

2172313 is a deficient number, since it is larger than the sum of its proper divisors (400971).

2172313 is a wasteful number, since it uses less digits than its factorization.

2172313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1405 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 2172313 is about 1473.8768605280. The cubic root of 2172313 is about 129.5112416512.

It can be divided in two parts, 21723 and 13, that added together give a triangular number (21736 = T208).

The spelling of 2172313 in words is "two million, one hundred seventy-two thousand, three hundred thirteen".

Divisors: 1 11 13 121 143 1381 1573 15191 17953 167101 197483 2172313