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422253 = 3413401
BaseRepresentation
bin1100111000101101101
3210110020000
41213011231
5102003003
613014513
73406026
oct1470555
9713200
10422253
11269277
12184439
1311a270
14adc4d
15851a3
hex6716d

422253 has 20 divisors (see below), whose sum is σ = 680988. Its totient is φ = 259200.

The previous prime is 422249. The next prime is 422267. The reversal of 422253 is 352224.

It can be written as a sum of positive squares in 2 ways, for example, as 272484 + 149769 = 522^2 + 387^2 .

It is not a de Polignac number, because 422253 - 22 = 422249 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 422253.

It is not an unprimeable number, because it can be changed into a prime (422203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 853 + ... + 1253.

2422253 is an apocalyptic number.

It is an amenable number.

422253 is a deficient number, since it is larger than the sum of its proper divisors (258735).

422253 is a wasteful number, since it uses less digits than its factorization.

422253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 422253 is about 649.8099722226. The cubic root of 422253 is about 75.0223933132.

Adding to 422253 its reverse (352224), we get a palindrome (774477).

The spelling of 422253 in words is "four hundred twenty-two thousand, two hundred fifty-three".

Divisors: 1 3 9 13 27 39 81 117 351 401 1053 1203 3609 5213 10827 15639 32481 46917 140751 422253