Search a number
-
+
20411222420 = 2253727582733
BaseRepresentation
bin10011000000100110…
…101000100110010100
31221200111022112100202
4103000212220212110
5313300233104140
613213215200032
71321544346041
oct230046504624
957614275322
1020411222420
11872466a566
123b57816018
131c03948304
14db8b6c1c8
157e6de9915
hex4c09a8994

20411222420 has 24 divisors (see below), whose sum is σ = 44022043464. Its totient is φ = 7943826816.

The previous prime is 20411222417. The next prime is 20411222459. The reversal of 20411222420 is 2422211402.

It can be written as a sum of positive squares in 4 ways, for example, as 2924862724 + 17486359696 = 54082^2 + 132236^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20411222392 and 20411222401.

It is a congruent number.

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, 13790627 + ... + 13792106.

It is an arithmetic number, because the mean of its divisors is an integer number (1834251811).

Almost surely, 220411222420 is an apocalyptic number.

20411222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20411222420 is an abundant number, since it is smaller than the sum of its proper divisors (23610821044).

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

20411222420 is a wasteful number, since it uses less digits than its factorization.

20411222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27582779 (or 27582777 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20411222420 its reverse (2422211402), we get a palindrome (22833433822).

The spelling of 20411222420 in words is "twenty billion, four hundred eleven million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 27582733 55165466 110330932 137913665 275827330 551654660 1020561121 2041122242 4082244484 5102805605 10205611210 20411222420