Base | Representation |
---|---|
bin | 1000001011000000000010 |
3 | 11000211120010 |
4 | 20023000002 |
5 | 1022022320 |
6 | 113525350 |
7 | 24131340 |
oct | 10130002 |
9 | 4024503 |
10 | 2142210 |
11 | 1233524 |
12 | 873856 |
13 | 5a00a5 |
14 | 3da990 |
15 | 2c4ae0 |
hex | 20b002 |
2142210 has 48 divisors (see below), whose sum is σ = 5934528. Its totient is φ = 484800.
The previous prime is 2142181. The next prime is 2142211. The reversal of 2142210 is 122412.
2142210 is nontrivially palindromic in base 13.
It is a d-powerful number, because it can be written as 213 + 1 + 46 + 215 + 221 + 1 + 0 .
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2142211) 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 23 ways as a sum of consecutive naturals, for example, 21160 + ... + 21260.
It is an arithmetic number, because the mean of its divisors is an integer number (123636).
22142210 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2142210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967264).
2142210 is an abundant number, since it is smaller than the sum of its proper divisors (3792318).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142210 is a wasteful number, since it uses less digits than its factorization.
2142210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 219 (or 118 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 2142210 is about 1463.6290513651. The cubic root of 2142210 is about 128.9102193635.
Adding to 2142210 its reverse (122412), we get a palindrome (2264622).
The spelling of 2142210 in words is "two million, one hundred forty-two thousand, two hundred ten".
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