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20422132220 = 22571993112357
BaseRepresentation
bin10011000001010000…
…010000000111111100
31221201020211210210102
4103001100100013330
5313311031212340
613214245100232
71322036155040
oct230120200774
957636753712
1020422132220
11872a841226
123b5b3b7678
131c05c98009
14dba3ac020
157e7d52215
hex4c14101fc

20422132220 has 96 divisors (see below), whose sum is σ = 49438771200. Its totient is φ = 6941341440.

The previous prime is 20422132219. The next prime is 20422132271. The reversal of 20422132220 is 2223122402.

It is a super-2 number, since 2×204221322202 (a number of 21 digits) contains 22 as substring.

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 = 20422132192 and 20422132201.

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 31 ways as a sum of consecutive naturals, for example, 8663282 + ... + 8665638.

It is an arithmetic number, because the mean of its divisors is an integer number (514987200).

Almost surely, 220422132220 is an apocalyptic number.

20422132220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20422132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24719385600).

20422132220 is an abundant number, since it is smaller than the sum of its proper divisors (29016638980).

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

20422132220 is a wasteful number, since it uses less digits than its factorization.

20422132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20422132220 its reverse (2223122402), we get a palindrome (22645254622).

The spelling of 20422132220 in words is "twenty billion, four hundred twenty-two million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 311 398 622 796 995 1244 1393 1555 1990 2177 2357 2786 3110 3980 4354 4714 5572 6220 6965 8708 9428 10885 11785 13930 16499 21770 23570 27860 32998 43540 47140 61889 65996 82495 123778 164990 247556 309445 329980 433223 469043 618890 733027 866446 938086 1237780 1466054 1732892 1876172 2166115 2345215 2932108 3283301 3665135 4332230 4690430 5131189 6566602 7330270 8664460 9380860 10262378 13133204 14660540 16416505 20524756 25655945 32833010 51311890 65666020 102623780 145872373 291744746 583489492 729361865 1021106611 1458723730 2042213222 2917447460 4084426444 5105533055 10211066110 20422132220