Search a number
-
+
200221300120020 = 223519117471317637
BaseRepresentation
bin101101100001100110100111…
…011110000101100111010100
3222020220222011122211221200220
4231201212213132011213110
5202220411210312320040
61545500221231034340
760113340316306014
oct5541464736054724
9866828148757626
10200221300120020
1158884416182a23
121a55829036b9b0
138794a3143346a
143762a9693dc44
1518233374952d0
hexb619a77859d4

200221300120020 has 48 divisors (see below), whose sum is σ = 563554821731328. Its totient is φ = 53112805613440.

The previous prime is 200221300119989. The next prime is 200221300120021. The reversal of 200221300120020 is 20021003122002.

It is a happy number.

It is a super-2 number, since 2×2002213001200202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200221300120021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8735647359 + ... + 8735670278.

It is an arithmetic number, because the mean of its divisors is an integer number (11740725452736).

Almost surely, 2200221300120020 is an apocalyptic number.

200221300120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200221300120020 is an abundant number, since it is smaller than the sum of its proper divisors (363333521611308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200221300120020 is a wasteful number, since it uses less digits than its factorization.

200221300120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17471317840 (or 17471317838 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 200221300120020 its reverse (20021003122002), we get a palindrome (220242303242022).

The spelling of 200221300120020 in words is "two hundred trillion, two hundred twenty-one billion, three hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 573 764 955 1146 1910 2292 2865 3820 5730 11460 17471317637 34942635274 52413952911 69885270548 87356588185 104827905822 174713176370 209655811644 262069764555 349426352740 524139529110 1048279058220 3337021668667 6674043337334 10011065006001 13348086674668 16685108343335 20022130012002 33370216686670 40044260024004 50055325030005 66740433373340 100110650060010 200221300120020