Search a number
-
+
10342221200 = 2452208912377
BaseRepresentation
bin10011010000111000…
…11100010110010000
3222200202201021100122
421220130130112100
5132140102034300
64430125405412
7514201300253
oct115034342620
928622637318
1010342221200
114427a06953
122007709868
13c8a87bb1c
147017a709a
15407e5bc85
hex26871c590

10342221200 has 60 divisors (see below), whose sum is σ = 24861089220. Its totient is φ = 4134574080.

The previous prime is 10342221187. The next prime is 10342221203. The reversal of 10342221200 is 212224301.

It can be written as a sum of positive squares in 6 ways, for example, as 217031824 + 10125189376 = 14732^2 + 100624^2 .

It is not an unprimeable number, because it can be changed into a prime (10342221203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 829412 + ... + 841788.

It is an arithmetic number, because the mean of its divisors is an integer number (414351487).

Almost surely, 210342221200 is an apocalyptic number.

10342221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10342221200 is an abundant number, since it is smaller than the sum of its proper divisors (14518868020).

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

10342221200 is a wasteful number, since it uses less digits than its factorization.

10342221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14484 (or 14473 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10342221200 its reverse (212224301), we get a palindrome (10554445501).

The spelling of 10342221200 in words is "ten billion, three hundred forty-two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2089 4178 8356 10445 12377 16712 20890 24754 33424 41780 49508 52225 61885 83560 99016 104450 123770 167120 198032 208900 247540 309425 417800 495080 618850 835600 990160 1237700 2475400 4950800 25855553 51711106 103422212 129277765 206844424 258555530 413688848 517111060 646388825 1034222120 1292777650 2068444240 2585555300 5171110600 10342221200