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20302253000 = 235385323801
BaseRepresentation
bin10010111010000110…
…111100101111001000
31221101220021022102022
4102322012330233020
5313034334044000
613154323424012
71316052205661
oct227206745710
957356238368
1020302253000
118679102197
123b27225008
131bb71b4073
14da84c4368
157dc572585
hex4ba1bcbc8

20302253000 has 64 divisors (see below), whose sum is σ = 47564964720. Its totient is φ = 8111040000.

The previous prime is 20302252991. The next prime is 20302253003. The reversal of 20302253000 is 35220302.

It can be written as a sum of positive squares in 8 ways, for example, as 30758116 + 20271494884 = 5546^2 + 142378^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20302253000.

It is not an unprimeable number, because it can be changed into a prime (20302253003) 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, 841100 + ... + 864900.

Almost surely, 220302253000 is an apocalyptic number.

20302253000 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 20302253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23782482360).

20302253000 is an abundant number, since it is smaller than the sum of its proper divisors (27262711720).

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

20302253000 is a wasteful number, since it uses less digits than its factorization.

20302253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24675 (or 24661 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

Adding to 20302253000 its reverse (35220302), we get a palindrome (20337473302).

The spelling of 20302253000 in words is "twenty billion, three hundred two million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 853 1000 1706 3412 4265 6824 8530 17060 21325 23801 34120 42650 47602 85300 95204 106625 119005 170600 190408 213250 238010 426500 476020 595025 853000 952040 1190050 2380100 2975125 4760200 5950250 11900500 20302253 23801000 40604506 81209012 101511265 162418024 203022530 406045060 507556325 812090120 1015112650 2030225300 2537781625 4060450600 5075563250 10151126500 20302253000