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2122180 = 225106109
BaseRepresentation
bin1000000110000111000100
310222211002021
420012013010
51020402210
6113252524
724016054
oct10060704
93884067
102122180
11121a475
12864144
13593c38
143d3564
152bdbda
hex2061c4

2122180 has 12 divisors (see below), whose sum is σ = 4456620. Its totient is φ = 848864.

The previous prime is 2122163. The next prime is 2122181. The reversal of 2122180 is 812212.

It can be written as a sum of positive squares in 2 ways, for example, as 1577536 + 544644 = 1256^2 + 738^2 .

It is not an unprimeable number, because it can be changed into a prime (2122181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53035 + ... + 53074.

It is an arithmetic number, because the mean of its divisors is an integer number (371385).

22122180 is an apocalyptic number.

2122180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122180 is an abundant number, since it is smaller than the sum of its proper divisors (2334440).

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

2122180 is a wasteful number, since it uses less digits than its factorization.

2122180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106118 (or 106116 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2122180 is about 1456.7704005779. The cubic root of 2122180 is about 128.5071836587.

Adding to 2122180 its reverse (812212), we get a palindrome (2934392).

It can be divided in two parts, 21 and 22180, that added together give a square (22201 = 1492).

The spelling of 2122180 in words is "two million, one hundred twenty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 106109 212218 424436 530545 1061090 2122180