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2230772775 = 3527211139397
BaseRepresentation
bin1000010011110110…
…1110010000100111
312202110120222221220
42010331232100213
514032034212100
61005205111423
7106165153500
oct20475562047
95673528856
102230772775
11a45238670
125230b8573
132972172ba
141723abba7
15d0c99aa0
hex84f6e427

2230772775 has 144 divisors (see below), whose sum is σ = 4725947520. Its totient is φ = 918086400.

The previous prime is 2230772773. The next prime is 2230772779. The reversal of 2230772775 is 5772770322.

2230772775 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2230772775 - 21 = 2230772773 is a prime.

It is a super-3 number, since 3×22307727753 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230772773) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5618877 + ... + 5619273.

It is an arithmetic number, because the mean of its divisors is an integer number (32819080).

Almost surely, 22230772775 is an apocalyptic number.

2230772775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2230772775 is an abundant number, since it is smaller than the sum of its proper divisors (2495174745).

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

2230772775 is a wasteful number, since it uses less digits than its factorization.

2230772775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 42.

The square root of 2230772775 is about 47231.0573140174. The cubic root of 2230772775 is about 1306.6274524088.

The spelling of 2230772775 in words is "two billion, two hundred thirty million, seven hundred seventy-two thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 139 147 165 175 231 245 275 385 397 417 525 539 695 735 825 973 1155 1191 1225 1529 1617 1925 1985 2085 2695 2779 2919 3475 3675 4367 4587 4865 5775 5955 6811 7645 8085 8337 9925 10425 10703 13101 13475 13895 14595 19453 20433 21835 22935 24325 29775 30569 32109 34055 38225 40425 41685 53515 55183 58359 65505 69475 72975 74921 91707 97265 102165 109175 114675 152845 160545 165549 170275 208425 213983 224763 267575 275915 291795 327525 374605 386281 458535 486325 510825 607013 641949 764225 802725 827745 1069915 1123815 1158843 1379575 1458975 1821039 1873025 1931405 2292675 2703967 3035065 3209745 4138725 4249091 5349575 5619075 5794215 8111901 9105195 9657025 12747273 13519835 15175325 16048725 21245455 28971075 29743637 40559505 45525975 63736365 67599175 89230911 106227275 148718185 202797525 318681825 446154555 743590925 2230772775