Base | Representation |
---|---|
bin | 100100010111100… |
… | …1010010010000000 |
3 | 10011001020210200010 |
4 | 1020233022102000 |
5 | 4444400304212 |
6 | 321031424520 |
7 | 42145366230 |
oct | 11057122200 |
9 | 3131223603 |
10 | 1220322432 |
11 | 57692733a |
12 | 2a0825140 |
13 | 165a8b5a4 |
14 | b80ddcc0 |
15 | 7220203c |
hex | 48bca480 |
1220322432 has 128 divisors (see below), whose sum is σ = 3746908800. Its totient is φ = 344678400.
The previous prime is 1220322421. The next prime is 1220322449. The reversal of 1220322432 is 2342230221.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 1220322399 and 1220322408.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236682 + ... + 241782.
It is an arithmetic number, because the mean of its divisors is an integer number (29272725).
Almost surely, 21220322432 is an apocalyptic number.
1220322432 is a gapful number since it is divisible by the number (12) 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 1220322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873454400).
1220322432 is an abundant number, since it is smaller than the sum of its proper divisors (2526586368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1220322432 is an equidigital number, since it uses as much as digits as its factorization.
1220322432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5214 (or 5202 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 1220322432 is about 34933.1136888769. The cubic root of 1220322432 is about 1068.6238552393.
Adding to 1220322432 its reverse (2342230221), we get a palindrome (3562552653).
The spelling of 1220322432 in words is "one billion, two hundred twenty million, three hundred twenty-two thousand, four hundred thirty-two".
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