Base | Representation |
---|---|
bin | 1000001111100000… |
… | …1101110110111010 |
3 | 12201012022021220220 |
4 | 2003320031312322 |
5 | 14012403131442 |
6 | 1003314400510 |
7 | 105554245164 |
oct | 20370156672 |
9 | 5635267826 |
10 | 2212552122 |
11 | a35a23180 |
12 | 518b90136 |
13 | 293507a51 |
14 | 16dbc7934 |
15 | ce39aeec |
hex | 83e0ddba |
2212552122 has 64 divisors (see below), whose sum is σ = 5032226304. Its totient is φ = 642565440.
The previous prime is 2212552079. The next prime is 2212552123.
2212552122 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×22125521223 (a number of 29 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2212552092 and 2212552101.
It is not an unprimeable number, because it can be changed into a prime (2212552123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156853 + ... + 170375.
It is an arithmetic number, because the mean of its divisors is an integer number (78628536).
Almost surely, 22212552122 is an apocalyptic number.
2212552122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2212552122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516113152).
2212552122 is an abundant number, since it is smaller than the sum of its proper divisors (2819674182).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2212552122 is a wasteful number, since it uses less digits than its factorization.
2212552122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13643.
The product of its digits is 1600, while the sum is 24.
The square root of 2212552122 is about 47037.7733529129. The cubic root of 2212552122 is about 1303.0602699912.
It can be divided in two parts, 22125 and 52122, that added together give a palindrome (74247).
The spelling of 2212552122 in words is "two billion, two hundred twelve million, five hundred fifty-two thousand, one hundred twenty-two".
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