Search a number
-
+
22135321000 = 2353131702717
BaseRepresentation
bin10100100111010111…
…100011000110101000
32010010122111210222201
4110213113203012220
5330313120233000
614100244425544
71412351060362
oct244727430650
963118453881
1022135321000
1194298a2321
1243590a82b4
132119bb16a0
1410ddb27d32
1589845d96a
hex5275e31a8

22135321000 has 64 divisors (see below), whose sum is σ = 55781041680. Its totient is φ = 8173036800.

The previous prime is 22135320989. The next prime is 22135321063. The reversal of 22135321000 is 12353122.

It can be written as a sum of positive squares in 8 ways, for example, as 427716 + 22134893284 = 654^2 + 148778^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838359 + ... + 864358.

Almost surely, 222135321000 is an apocalyptic number.

22135321000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22135321000 is an abundant number, since it is smaller than the sum of its proper divisors (33645720680).

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

22135321000 is a wasteful number, since it uses less digits than its factorization.

22135321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702751 (or 1702737 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 22135321000 its reverse (12353122), we get a palindrome (22147674122).

The spelling of 22135321000 in words is "twenty-two billion, one hundred thirty-five million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 1702717 3405434 6810868 8513585 13621736 17027170 22135321 34054340 42567925 44270642 68108680 85135850 88541284 110676605 170271700 177082568 212839625 221353210 340543400 425679250 442706420 553383025 851358500 885412840 1106766050 1702717000 2213532100 2766915125 4427064200 5533830250 11067660500 22135321000