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422641505 = 5112131729109
BaseRepresentation
bin11001001100001…
…111111101100001
31002110021102011002
4121030033331201
51331144012010
6105534401345
713321251656
oct3114177541
91073242132
10422641505
111a762a900
12b9660255
136973b140
14401b9c2d
15271871a5
hex1930ff61

422641505 has 96 divisors (see below), whose sum is σ = 663616800. Its totient is φ = 255467520.

The previous prime is 422641481. The next prime is 422641511. The reversal of 422641505 is 505146224.

It can be written as a sum of positive squares in 16 ways, for example, as 63425296 + 359216209 = 7964^2 + 18953^2 .

It is not a de Polignac number, because 422641505 - 26 = 422641441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3877391 + ... + 3877499.

It is an arithmetic number, because the mean of its divisors is an integer number (6912675).

Almost surely, 2422641505 is an apocalyptic number.

It is an amenable number.

422641505 is a deficient number, since it is larger than the sum of its proper divisors (240975295).

422641505 is a wasteful number, since it uses less digits than its factorization.

422641505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 422641505 is about 20558.2466421628. The cubic root of 422641505 is about 750.4539503685.

Adding to 422641505 its reverse (505146224), we get a palindrome (927787729).

The spelling of 422641505 in words is "four hundred twenty-two million, six hundred forty-one thousand, five hundred five".

Divisors: 1 5 11 13 17 29 55 65 85 109 121 143 145 187 221 319 377 493 545 605 715 935 1105 1199 1417 1573 1595 1853 1885 2057 2431 2465 3161 3509 4147 5423 5995 6409 7085 7865 9265 10285 12155 13189 15587 15805 17545 20383 20735 24089 26741 27115 32045 34771 41093 45617 53737 59653 65945 70499 77935 101915 120445 133705 171457 173855 205465 224213 228085 264979 268685 298265 352495 382481 452023 591107 698581 775489 857285 1121065 1324895 1912405 2260115 2914769 2955535 3492905 3877445 4972253 6502177 7684391 14573845 24861265 32510885 38421955 84528301 422641505