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212807 = 7243101
BaseRepresentation
bin110011111101000111
3101210220202
4303331013
523302212
64321115
71544300
oct637507
9353822
10212807
11135981
12a319b
1375b2a
14577a7
15430c2
hex33f47

212807 has 12 divisors (see below), whose sum is σ = 255816. Its totient is φ = 176400.

The previous prime is 212801. The next prime is 212827. The reversal of 212807 is 708212.

It is not a de Polignac number, because 212807 - 24 = 212791 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212807.

It is not an unprimeable number, because it can be changed into a prime (212801) 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, 2057 + ... + 2157.

It is an arithmetic number, because the mean of its divisors is an integer number (21318).

2212807 is an apocalyptic number.

212807 is a deficient number, since it is larger than the sum of its proper divisors (43009).

212807 is a wasteful number, since it uses less digits than its factorization.

212807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 212807 is about 461.3100909367. The cubic root of 212807 is about 59.7028829717.

The spelling of 212807 in words is "two hundred twelve thousand, eight hundred seven".

Divisors: 1 7 43 49 101 301 707 2107 4343 4949 30401 212807