Search a number
-
+
2220197788800 = 273252194057379
BaseRepresentation
bin100000010011101110000…
…110011011110010000000
321212020201101211111221100
4200103232012123302000
5242333431113220200
64415540023454400
7316255366553505
oct40235606336200
97766641744840
102220197788800
11786642853722
122ba3578b7400
1313149621cb64
147965b2214ac
153cb4473bd00
hex204ee19bc80

2220197788800 has 288 divisors, whose sum is σ = 8339133114000. Its totient is φ = 560891934720.

The previous prime is 2220197788771. The next prime is 2220197788811. The reversal of 2220197788800 is 88877910222.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 1481490 + ... + 2575889.

Almost surely, 22220197788800 is an apocalyptic number.

2220197788800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220197788800 is an abundant number, since it is smaller than the sum of its proper divisors (6118935325200).

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

2220197788800 is a wasteful number, since it uses less digits than its factorization.

2220197788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057428 (or 4057408 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 2220197788800 in words is "two trillion, two hundred twenty billion, one hundred ninety-seven million, seven hundred eighty-eight thousand, eight hundred".