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20501221220 = 22537208113313
BaseRepresentation
bin10011000101111101…
…111100111101100100
31221220202122221111122
4103011331330331210
5313441303034340
613230152153112
71324016335154
oct230575747544
957822587448
1020501221220
11877044aa37
123b81998798
131c1949983c
14dc6ab8764
157eec75db5
hex4c5f7cf64

20501221220 has 48 divisors (see below), whose sum is σ = 44240717808. Its totient is φ = 7974420480.

The previous prime is 20501221219. The next prime is 20501221229. The reversal of 20501221220 is 2212210502.

It can be written as a sum of positive squares in 8 ways, for example, as 8726116 + 20492495104 = 2954^2 + 143152^2 .

It is a super-2 number, since 2×205012212202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20501221229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1533284 + ... + 1546596.

It is an arithmetic number, because the mean of its divisors is an integer number (921681621).

Almost surely, 220501221220 is an apocalyptic number.

20501221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20501221220 is an abundant number, since it is smaller than the sum of its proper divisors (23739496588).

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

20501221220 is a wasteful number, since it uses less digits than its factorization.

20501221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15440 (or 15438 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 20501221220 its reverse (2212210502), we get a palindrome (22713431722).

The spelling of 20501221220 in words is "twenty billion, five hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 2081 4162 8324 10405 13313 20810 26626 41620 53252 66565 76997 133130 153994 266260 307988 384985 492581 769970 985162 1539940 1970324 2462905 4925810 9851620 27704353 55408706 110817412 138521765 277043530 554087060 1025061061 2050122122 4100244244 5125305305 10250610610 20501221220