Search a number
-
+
221121222222020 = 225129748011775533
BaseRepresentation
bin110010010001101111001011…
…111001110010000011000100
31001222220222112011111220121212
4302101233023321302003010
5212440322230342101040
62102141404231030552
764401324010101401
oct6221571371620304
91058828464456555
10221121222222020
1164501a9036493a
1220972935b0b458
13964c845cca8b3
143c86477aa72a8
151a86d0cabbd65
hexc91bcbe720c4

221121222222020 has 48 divisors (see below), whose sum is σ = 464809645434288. Its totient is φ = 88361835724800.

The previous prime is 221121222221971. The next prime is 221121222222059. The reversal of 221121222222020 is 20222222121122.

It can be written as a sum of positive squares in 8 ways, for example, as 47443193961604 + 173678028260416 = 6887902^2 + 13178696^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123650174 + ... + 125425706.

It is an arithmetic number, because the mean of its divisors is an integer number (9683534279881).

Almost surely, 2221121222222020 is an apocalyptic number.

221121222222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121222222020 is an abundant number, since it is smaller than the sum of its proper divisors (243688423212268).

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

221121222222020 is a wasteful number, since it uses less digits than its factorization.

221121222222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781640 (or 1781638 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 221121222222020 its reverse (20222222121122), we get a palindrome (241343444343142).

The spelling of 221121222222020 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 1297 2594 4801 5188 6485 9602 12970 19204 24005 25940 48010 96020 1775533 3551066 6226897 7102132 8877665 12453794 17755330 24907588 31134485 35510660 62268970 124537940 2302866301 4605732602 8524333933 9211465204 11514331505 17048667866 23028663010 34097335732 42621669665 46057326020 85243339330 170486678660 11056061111101 22112122222202 44224244444404 55280305555505 110560611111010 221121222222020