Search a number
-
+
2210131 = 71128703
BaseRepresentation
bin1000011011100101010011
311011021201201
420123211103
51031211011
6115212031
724533350
oct10334523
94137651
102210131
11127a560
128a7017
135c4c91
14417627
152d9cc1
hex21b953

2210131 has 8 divisors (see below), whose sum is σ = 2755584. Its totient is φ = 1722120.

The previous prime is 2210107. The next prime is 2210141. The reversal of 2210131 is 1310122.

2210131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 2210131 - 211 = 2208083 is a prime.

It is a super-2 number, since 2×22101312 = 9769358074322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2210141) 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, 14275 + ... + 14428.

It is an arithmetic number, because the mean of its divisors is an integer number (344448).

22210131 is an apocalyptic number.

2210131 is a deficient number, since it is larger than the sum of its proper divisors (545453).

2210131 is a wasteful number, since it uses less digits than its factorization.

2210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28721.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2210131 is about 1486.6509341470. The cubic root of 2210131 is about 130.2584798052.

Adding to 2210131 its reverse (1310122), we get a palindrome (3520253).

Subtracting from 2210131 its reverse (1310122), we obtain a palindrome (900009).

It can be divided in two parts, 22 and 10131, that added together give a triangular number (10153 = T142).

The spelling of 2210131 in words is "two million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 7 11 77 28703 200921 315733 2210131