Search a number
-
+
202115024200 = 235243223105389
BaseRepresentation
bin1011110000111011111…
…1101000010101001000
3201022200202002001021001
42330032333220111020
511302412421233300
6232503402224344
720413412234215
oct2741677502510
9638622061231
10202115024200
1178797731191
1233207ab50b4
13160a056a69b
149ad4d5cb0c
1553cdea816a
hex2f0efe8548

202115024200 has 96 divisors (see below), whose sum is σ = 483006585600. Its totient is φ = 78611016960.

The previous prime is 202115024143. The next prime is 202115024201. The reversal of 202115024200 is 2420511202.

It is not an unprimeable number, because it can be changed into a prime (202115024201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1865106 + ... + 1970494.

It is an arithmetic number, because the mean of its divisors is an integer number (5031318600).

Almost surely, 2202115024200 is an apocalyptic number.

202115024200 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 202115024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241503292800).

202115024200 is an abundant number, since it is smaller than the sum of its proper divisors (280891561400).

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

202115024200 is a wasteful number, since it uses less digits than its factorization.

202115024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105671 (or 105662 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 202115024200 its reverse (2420511202), we get a palindrome (204535535402).

The spelling of 202115024200 in words is "two hundred two billion, one hundred fifteen million, twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 223 344 430 446 860 892 1075 1115 1720 1784 2150 2230 4300 4460 5575 8600 8920 9589 11150 19178 22300 38356 44600 47945 76712 95890 105389 191780 210778 239725 383560 421556 479450 526945 843112 958900 1053890 1917800 2107780 2634725 4215560 4531727 5269450 9063454 10538900 18126908 21077800 22658635 23501747 36253816 45317270 47003494 90634540 94006988 113293175 117508735 181269080 188013976 226586350 235017470 453172700 470034940 587543675 906345400 940069880 1010575121 1175087350 2021150242 2350174700 4042300484 4700349400 5052875605 8084600968 10105751210 20211502420 25264378025 40423004840 50528756050 101057512100 202115024200