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22100022020 = 2251466975329
BaseRepresentation
bin10100100101010000…
…111001001100000100
32010001012002102220002
4110211100321030010
5330230101201040
614052544100432
71411442042036
oct244520711404
963035072802
1022100022020
11941098270a
124349304718
1321127a280b
1410d9179c56
158952d9a15
hex525439304

22100022020 has 24 divisors (see below), whose sum is σ = 46413826200. Its totient is φ = 8839288832.

The previous prime is 22100022019. The next prime is 22100022031. The reversal of 22100022020 is 2022000122.

It can be written as a sum of positive squares in 4 ways, for example, as 600838144 + 21499183876 = 24512^2 + 146626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22100021992 and 22100022010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255716 + ... + 331044.

It is an arithmetic number, because the mean of its divisors is an integer number (1933909425).

Almost surely, 222100022020 is an apocalyptic number.

22100022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100022020 is an abundant number, since it is smaller than the sum of its proper divisors (24313804180).

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

22100022020 is a wasteful number, since it uses less digits than its factorization.

22100022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90007 (or 90005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22100022020 its reverse (2022000122), we get a palindrome (24122022142).

The spelling of 22100022020 in words is "twenty-two billion, one hundred million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 14669 29338 58676 73345 75329 146690 150658 293380 301316 376645 753290 1506580 1105001101 2210002202 4420004404 5525005505 11050011010 22100022020