Search a number
-
+
221001212220000 = 2535411332596049
BaseRepresentation
bin110010001111111111011010…
…101111111101001001100000
31001222111111202110112010221020
4302033333122233331021200
5212431340440312020000
62102010315540125440
764356545026650522
oct6217773257751140
91058444673463836
10221001212220000
11644660a6899093
1220953622996880
13964142ba20a94
143c807312b9a12
151a83b36cdcba0
hexc8ffdabfd260

221001212220000 has 240 divisors, whose sum is σ = 731343492356400. Its totient is φ = 58412118016000.

The previous prime is 221001212219987. The next prime is 221001212220017. The reversal of 221001212220000 is 22212100122.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9518025 + ... + 23078024.

It is an arithmetic number, because the mean of its divisors is an integer number (3047264551485).

Almost surely, 2221001212220000 is an apocalyptic number.

221001212220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001212220000 is an abundant number, since it is smaller than the sum of its proper divisors (510342280136400).

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

221001212220000 is a wasteful number, since it uses less digits than its factorization.

221001212220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32596195 (or 32596172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221001212220000 its reverse (22212100122), we get a palindrome (221023424320122).

The spelling of 221001212220000 in words is "two hundred twenty-one trillion, one billion, two hundred twelve million, two hundred twenty thousand".