Search a number
-
+
202022220001 = 724122902449
BaseRepresentation
bin1011110000100101110…
…1100111000011100001
3201022110021110002211111
42330021131213003201
511302220142020001
6232450245143321
720411204352100
oct2741135470341
9638407402744
10202022220001
117874a304aa8
12331a09bab41
1316087276264
149ac68c2037
1553c5c75851
hex2f097670e1

202022220001 has 6 divisors (see below), whose sum is σ = 235005439650. Its totient is φ = 173161902816.

The previous prime is 202022219941. The next prime is 202022220073. The reversal of 202022220001 is 100022220202.

202022220001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 117456998400 + 84565221601 = 342720^2 + 290801^2 .

It is not a de Polignac number, because 202022220001 - 29 = 202022219489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202022229001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2061451176 + ... + 2061451273.

It is an arithmetic number, because the mean of its divisors is an integer number (39167573275).

Almost surely, 2202022220001 is an apocalyptic number.

It is an amenable number.

202022220001 is a deficient number, since it is larger than the sum of its proper divisors (32983219649).

202022220001 is an equidigital number, since it uses as much as digits as its factorization.

202022220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122902463 (or 4122902456 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202022220001 its reverse (100022220202), we get a palindrome (302044440203).

The spelling of 202022220001 in words is "two hundred two billion, twenty-two million, two hundred twenty thousand, one".

Divisors: 1 7 49 4122902449 28860317143 202022220001