Base | Representation |
---|---|
bin | 10011000010100100… |
… | …10101101111110100 |
3 | 222101101202010020100 |
4 | 21201102111233310 |
5 | 131413331212322 |
6 | 4410155434100 |
7 | 511212455505 |
oct | 114122255764 |
9 | 28341663210 |
10 | 10222132212 |
11 | 4376144256 |
12 | 1b93455930 |
13 | c6ba23556 |
14 | 6cd866bac |
15 | 3ec639dac |
hex | 261495bf4 |
10222132212 has 36 divisors (see below), whose sum is σ = 25970460516. Its totient is φ = 3390078720.
The previous prime is 10222132201. The next prime is 10222132223. The reversal of 10222132212 is 21223122201.
10222132212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10222132201) and next prime (10222132223).
It can be written as a sum of positive squares in 2 ways, for example, as 8012756196 + 2209376016 = 89514^2 + 47004^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 713589 + ... + 727772.
It is an arithmetic number, because the mean of its divisors is an integer number (721401681).
Almost surely, 210222132212 is an apocalyptic number.
10222132212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10222132212 is an abundant number, since it is smaller than the sum of its proper divisors (15748328304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10222132212 is a wasteful number, since it uses less digits than its factorization.
10222132212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1441568 (or 1441563 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 10222132212 its reverse (21223122201), we get a palindrome (31445254413).
The spelling of 10222132212 in words is "ten billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred twelve".
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