Search a number
-
+
2202468938580 = 2235191931990297
BaseRepresentation
bin100000000011001101011…
…000001111001101010100
321210112221211212121111010
4200003031120033031110
5242041124022013310
64403444505012220
7315060143041521
oct40031530171524
97715854777433
102202468938580
1177a075330099
122b6a2a484070
1312c8cc228841
1478858818148
153c458094320
hex200cd60f354

2202468938580 has 48 divisors (see below), whose sum is σ = 6491487401280. Its totient is φ = 556413205248.

The previous prime is 2202468938569. The next prime is 2202468938581. The reversal of 2202468938580 is 858398642022.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2202468938580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202468938581) by changing a digit.

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, 965994009 + ... + 965996288.

It is an arithmetic number, because the mean of its divisors is an integer number (135239320860).

Almost surely, 22202468938580 is an apocalyptic number.

2202468938580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202468938580 is an abundant number, since it is smaller than the sum of its proper divisors (4289018462700).

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

2202468938580 is a wasteful number, since it uses less digits than its factorization.

2202468938580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931990328 (or 1931990326 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 2202468938580 in words is "two trillion, two hundred two billion, four hundred sixty-eight million, nine hundred thirty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1931990297 3863980594 5795970891 7727961188 9659951485 11591941782 19319902970 23183883564 28979854455 36707815643 38639805940 57959708910 73415631286 110123446929 115919417820 146831262572 183539078215 220246893858 367078156430 440493787716 550617234645 734156312860 1101234469290 2202468938580