Search a number
-
+
22010208675840 = 2113357211229463
BaseRepresentation
bin1010000000100101001101…
…01010110110100000000000
32212221011012021201211012000
411000102212222312200000
510341103401410111330
6114451203354304000
74431120326602200
oct500224652664000
985834167654160
1022010208675840
117016527aa1100
122575886428000
13c387278397a8
1456142a870400
152828091e1560
hex1404a6ab6800

22010208675840 has 3456 divisors, whose sum is σ = 103712446656000. Its totient is φ = 4406303784960.

The previous prime is 22010208675779. The next prime is 22010208675841. The reversal of 22010208675840 is 4857680201022.

22010208675840 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 0 + 2 + 0 + 8 + 67 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-5 number, since 5×220102086758405 (a number of 68 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010208675841) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47538247449 + ... + 47538247911.

It is an arithmetic number, because the mean of its divisors is an integer number (30009388500).

Almost surely, 222010208675840 is an apocalyptic number.

22010208675840 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 22010208675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51856223328000).

22010208675840 is an abundant number, since it is smaller than the sum of its proper divisors (81702237980160).

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

22010208675840 is a wasteful number, since it uses less digits than its factorization.

22010208675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

Adding to 22010208675840 its reverse (4857680201022), we get a palindrome (26867888876862).

The spelling of 22010208675840 in words is "twenty-two trillion, ten billion, two hundred eight million, six hundred seventy-five thousand, eight hundred forty".