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2122000 = 24531061
BaseRepresentation
bin1000000110000100010000
310222210211121
420012010100
51020401000
6113252024
724015406
oct10060420
93883747
102122000
11121a321
12864014
13593b2a
143d3476
152bdb1a
hex206110

2122000 has 40 divisors (see below), whose sum is σ = 5135832. Its totient is φ = 848000.

The previous prime is 2121989. The next prime is 2122009. The reversal of 2122000 is 2212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 2085136 = 192^2 + 1444^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1470 + ... + 2530.

22122000 is an apocalyptic number.

2122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567916).

2122000 is an abundant number, since it is smaller than the sum of its proper divisors (3013832).

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

2122000 is a wasteful number, since it uses less digits than its factorization.

2122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2122000 is about 1456.7086187704. The cubic root of 2122000 is about 128.5035502963.

Adding to 2122000 its reverse (2212), we get a palindrome (2124212).

The spelling of 2122000 in words is "two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1061 2000 2122 4244 5305 8488 10610 16976 21220 26525 42440 53050 84880 106100 132625 212200 265250 424400 530500 1061000 2122000