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2202551540046 = 23211131553550993
BaseRepresentation
bin100000000011010010010…
…011010101100101001110
321210120011121022012101200
4200003102103111211032
5242041311143240141
64403501015250330
7315062165121234
oct40032223254516
97716147265350
102202551540046
1177a107a18870
122b6a520799a6
1312c91338a050
147886579a954
153c46045dab6
hex200d24d594e

2202551540046 has 96 divisors (see below), whose sum is σ = 5610115117152. Its totient is φ = 615700500480.

The previous prime is 2202551540027. The next prime is 2202551540047. The reversal of 2202551540046 is 6400451552022.

2202551540046 is a `hidden beast` number, since 2 + 2 + 0 + 25 + 51 + 540 + 0 + 46 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202551540047) 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 47 ways as a sum of consecutive naturals, for example, 3721926 + ... + 4272918.

It is an arithmetic number, because the mean of its divisors is an integer number (58438699137).

Almost surely, 22202551540046 is an apocalyptic number.

2202551540046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202551540046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805057558576).

2202551540046 is an abundant number, since it is smaller than the sum of its proper divisors (3407563577106).

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

2202551540046 is a wasteful number, since it uses less digits than its factorization.

2202551540046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552578 (or 552575 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2202551540046 in words is "two trillion, two hundred two billion, five hundred fifty-one million, five hundred forty thousand, forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 1553 2574 3106 4659 9318 13977 17083 20189 27954 34166 40378 51249 60567 102498 121134 153747 181701 222079 307494 363402 444158 550993 666237 1101986 1332474 1652979 1998711 3305958 3997422 4958937 6060923 7162909 9917874 12121846 14325818 18182769 21488727 36365538 42977454 54548307 64466181 78791999 109096614 128932362 157583998 236375997 472751994 709127991 855692129 1418255982 1711384258 2567076387 5134152774 7701229161 9412613419 11123997677 15402458322 18825226838 22247995354 28237840257 33371993031 56475680514 66743986062 84713520771 100115979093 122363974447 169427041542 200231958186 244727948894 367091923341 734183846682 1101275770023 2202551540046