Search a number
-
+
20244410020 = 22523251271647
BaseRepresentation
bin10010110110101010…
…010010111010100100
31221020212102120202201
4102312222102322210
5312430032110040
613144455544244
71314450434362
oct226652227244
957225376681
1020244410020
11864949497a
123b0b98b084
131ba8210b53
14da0948632
157d7448a9a
hex4b6a92ea4

20244410020 has 96 divisors (see below), whose sum is σ = 44771844096. Its totient is φ = 7674480000.

The previous prime is 20244409967. The next prime is 20244410027. The reversal of 20244410020 is 2001444202.

It is a super-2 number, since 2×202444100202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20244410020.

It is not an unprimeable number, because it can be changed into a prime (20244410027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31289337 + ... + 31289983.

It is an arithmetic number, because the mean of its divisors is an integer number (466373376).

Almost surely, 220244410020 is an apocalyptic number.

20244410020 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 20244410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385922048).

20244410020 is an abundant number, since it is smaller than the sum of its proper divisors (24527434076).

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

20244410020 is a wasteful number, since it uses less digits than its factorization.

20244410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 20244410020 its reverse (2001444202), we get a palindrome (22245854222).

The spelling of 20244410020 in words is "twenty billion, two hundred forty-four million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 251 271 460 502 542 647 1004 1084 1255 1294 1355 2510 2588 2710 3235 5020 5420 5773 6233 6470 11546 12466 12940 14881 23092 24932 28865 29762 31165 57730 59524 62330 68021 74405 115460 124660 136042 148810 162397 175337 272084 297620 324794 340105 350674 649588 680210 701348 811985 876685 1360420 1564483 1623970 1753370 3128966 3247940 3506740 3735131 4032751 6257932 7470262 7822415 8065502 14940524 15644830 16131004 18675655 20163755 31289660 37351310 40327510 44009587 74702620 80655020 88019174 176038348 220047935 440095870 880191740 1012220501 2024441002 4048882004 5061102505 10122205010 20244410020