Search a number
-
+
10522203540 = 22356117916061
BaseRepresentation
bin10011100110010110…
…00001010110010100
31000011022101022201020
421303023001112110
5133022141003130
64500035201140
7521515153152
oct116313012624
930138338636
1010522203540
11450a567292
122057a461b0
13cb8c47954
1471b6583d2
15418b5ee10
hex2732c1594

10522203540 has 96 divisors (see below), whose sum is σ = 30114322560. Its totient is φ = 2744332800.

The previous prime is 10522203539. The next prime is 10522203541. The reversal of 10522203540 is 4530222501.

It is an interprime number because it is at equal distance from previous prime (10522203539) and next prime (10522203541).

It is a super-2 number, since 2×105222035402 (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 10522203540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10522203541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647110 + ... + 663170.

It is an arithmetic number, because the mean of its divisors is an integer number (313690860).

Almost surely, 210522203540 is an apocalyptic number.

10522203540 is a gapful number since it is divisible by the number (10) 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 10522203540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057161280).

10522203540 is an abundant number, since it is smaller than the sum of its proper divisors (19592119020).

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

10522203540 is a wasteful number, since it uses less digits than its factorization.

10522203540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16313 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 10522203540 in words is "ten billion, five hundred twenty-two million, two hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 179 183 244 305 358 366 537 610 716 732 895 915 1074 1220 1790 1830 2148 2685 3580 3660 5370 10740 10919 16061 21838 32122 32757 43676 48183 54595 64244 65514 80305 96366 109190 131028 160610 163785 192732 218380 240915 321220 327570 481830 655140 963660 979721 1959442 2874919 2939163 3918884 4898605 5749838 5878326 8624757 9797210 11499676 11756652 14374595 14695815 17249514 19594420 28749190 29391630 34499028 43123785 57498380 58783260 86247570 172495140 175370059 350740118 526110177 701480236 876850295 1052220354 1753700590 2104440708 2630550885 3507401180 5261101770 10522203540