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422919225 = 34524572
BaseRepresentation
bin11001001101010…
…011110000111001
31002110210112010000
4121031103300321
51331231403400
6105544343213
713323516441
oct3115236071
91073715100
10422919225
111a77aa523
12b9774b09
1369807681
144024d121
15271de600
hex19353c39

422919225 has 45 divisors (see below), whose sum is σ = 785110557. Its totient is φ = 225063360.

The previous prime is 422919179. The next prime is 422919229. The reversal of 422919225 is 522919224.

The square root of 422919225 is 20565.

It is a perfect power (a square), and thus also a powerful number.

422919225 is a `hidden beast` number, since 422 + 9 + 1 + 9 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29452329 + 393466896 = 5427^2 + 19836^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 422919225 - 213 = 422911033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 422919225.

It is not an unprimeable number, because it can be changed into a prime (422919229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 925197 + ... + 925653.

Almost surely, 2422919225 is an apocalyptic number.

422919225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

422919225 is the 20565-th square number.

422919225 is the 10283-rd centered octagonal number.

It is an amenable number.

422919225 is a deficient number, since it is larger than the sum of its proper divisors (362191332).

422919225 is an frugal number, since it uses more digits than its factorization.

422919225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 465 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The cubic root of 422919225 is about 750.6182901497.

Multiplying 422919225 by its sum of digits (36), we get a square (15225092100 = 1233902).

Subtracting 422919225 from its reverse (522919224), we obtain a palindrome (99999999).

The spelling of 422919225 in words is "four hundred twenty-two million, nine hundred nineteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 457 675 1371 2025 2285 4113 6855 11425 12339 20565 34275 37017 61695 102825 185085 208849 308475 626547 925425 1044245 1879641 3132735 5221225 5638923 9398205 15663675 16916769 28194615 46991025 84583845 140973075 422919225