Search a number
-
+
2191032 = 233230431
BaseRepresentation
bin1000010110111010111000
311010022112100
420112322320
51030103112
6114543400
724423564
oct10267270
94108470
102191032
111267178
12897b60
135b938c
144106a4
152d42dc
hex216eb8

2191032 has 24 divisors (see below), whose sum is σ = 5934240. Its totient is φ = 730320.

The previous prime is 2191031. The next prime is 2191051. The reversal of 2191032 is 2301912.

It is a happy number.

2191032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2190996 and 2191014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191031) 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 5 ways as a sum of consecutive naturals, for example, 15144 + ... + 15287.

It is an arithmetic number, because the mean of its divisors is an integer number (247260).

22191032 is an apocalyptic number.

It is an amenable number.

2191032 is an abundant number, since it is smaller than the sum of its proper divisors (3743208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2191032 is a wasteful number, since it uses less digits than its factorization.

2191032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30443 (or 30436 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2191032 is about 1480.2134981144. The cubic root of 2191032 is about 129.8821812217.

Adding to 2191032 its reverse (2301912), we get a palindrome (4492944).

The spelling of 2191032 in words is "two million, one hundred ninety-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30431 60862 91293 121724 182586 243448 273879 365172 547758 730344 1095516 2191032