Base | Representation |
---|---|
bin | 1100110101000011011… |
… | …1101101010110001000 |
3 | 210001220001200210122100 |
4 | 3031100313231112020 |
5 | 12102334412104112 |
6 | 245130031153400 |
7 | 21631502023131 |
oct | 3152067552610 |
9 | 701801623570 |
10 | 220400113032 |
11 | 85520133050 |
12 | 3686b675860 |
13 | 17a25877988 |
14 | a94b59ac88 |
15 | 5aee3c72dc |
hex | 3350ded588 |
220400113032 has 192 divisors, whose sum is σ = 670586304960. Its totient is φ = 64817625600.
The previous prime is 220400113009. The next prime is 220400113049. The reversal of 220400113032 is 230311004022.
220400113032 is a `hidden beast` number, since 220 + 400 + 1 + 13 + 0 + 32 = 666.
220400113032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 220400112996 and 220400113014.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5326182 + ... + 5367402.
It is an arithmetic number, because the mean of its divisors is an integer number (3492637005).
Almost surely, 2220400113032 is an apocalyptic number.
220400113032 is a gapful number since it is divisible by the number (22) 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 220400113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335293152480).
220400113032 is an abundant number, since it is smaller than the sum of its proper divisors (450186191928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220400113032 is a wasteful number, since it uses less digits than its factorization.
220400113032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41444 (or 41437 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 220400113032 its reverse (230311004022), we get a palindrome (450711117054).
The spelling of 220400113032 in words is "two hundred twenty billion, four hundred million, one hundred thirteen thousand, thirty-two".
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