Search a number
-
+
20201022225 = 3252176917643
BaseRepresentation
bin10010110100000100…
…110010001100010001
31221010211210020220100
4102310010302030101
5312332430202400
613140310003013
71313412566346
oct226404621421
957124706810
1020201022225
118626a4aa9a
123ab9346469
131b9c22c2b7
14d98c927cd
157d3728100
hex4b4132311

20201022225 has 72 divisors (see below), whose sum is σ = 38371106592. Its totient is φ = 10124121600.

The previous prime is 20201022203. The next prime is 20201022271. The reversal of 20201022225 is 52222010202.

It is not a de Polignac number, because 20201022225 - 29 = 20201021713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20201022198 and 20201022207.

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 71 ways as a sum of consecutive naturals, for example, 2639254 + ... + 2646896.

It is an arithmetic number, because the mean of its divisors is an integer number (532932036).

Almost surely, 220201022225 is an apocalyptic number.

20201022225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20201022225 is a deficient number, since it is larger than the sum of its proper divisors (18170084367).

20201022225 is a wasteful number, since it uses less digits than its factorization.

20201022225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8367 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 20201022225 its reverse (52222010202), we get a palindrome (72423032427).

The spelling of 20201022225 in words is "twenty billion, two hundred one million, twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 691 765 1275 2073 3455 3825 6219 7643 10365 11747 17275 22929 31095 35241 38215 51825 58735 68787 105723 114645 129931 155475 176205 191075 293675 343935 389793 528615 573225 649655 881025 1169379 1719675 1948965 2643075 3248275 5281313 5846895 9744825 15843939 26406565 29234475 47531817 79219695 89782321 132032825 237659085 269346963 396098475 448911605 808040889 1188295425 1346734815 2244558025 4040204445 6733674075 20201022225