Base | Representation |
---|---|
bin | 1100110101010000011… |
… | …0110011111100000000 |
3 | 210002000211212001122000 |
4 | 3031110012303330000 |
5 | 12102442311410330 |
6 | 245135250544000 |
7 | 21633031341306 |
oct | 3152406637400 |
9 | 702024761560 |
10 | 220454403840 |
11 | 85548844590 |
12 | 36885898000 |
13 | 17a33ba6108 |
14 | a954890276 |
15 | 5b0404d560 |
hex | 33541b3f00 |
220454403840 has 1152 divisors, whose sum is σ = 938107699200. Its totient is φ = 48392847360.
The previous prime is 220454403791. The next prime is 220454403901. The reversal of 220454403840 is 48304454022.
220454403840 is a `hidden beast` number, since 2 + 204 + 5 + 4 + 403 + 8 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 220454403795 and 220454403804.
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 127 ways as a sum of consecutive naturals, for example, 166129257 + ... + 166130583.
It is an arithmetic number, because the mean of its divisors is an integer number (814329600).
Almost surely, 2220454403840 is an apocalyptic number.
220454403840 is a gapful number since it is divisible by the number (20) 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 220454403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469053849600).
220454403840 is an abundant number, since it is smaller than the sum of its proper divisors (717653295360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220454403840 is a wasteful number, since it uses less digits than its factorization.
220454403840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1410 (or 1390 counting only the distinct ones).
The product of its (nonzero) digits is 122880, while the sum is 36.
Adding to 220454403840 its reverse (48304454022), we get a palindrome (268758857862).
The spelling of 220454403840 in words is "two hundred twenty billion, four hundred fifty-four million, four hundred three thousand, eight hundred forty".
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