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253422 = 23313192
BaseRepresentation
bin111101110111101110
3110212122000
4331313232
531102142
65233130
72103561
oct756756
9425560
10253422
11163444
121027a6
138b470
14684d8
155014c
hex3ddee

253422 has 48 divisors (see below), whose sum is σ = 640080. Its totient is φ = 73872.

The previous prime is 253417. The next prime is 253423. The reversal of 253422 is 224352.

253422 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 253395 and 253404.

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 253422.

It is not an unprimeable number, because it can be changed into a prime (253423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13329 + ... + 13347.

It is an arithmetic number, because the mean of its divisors is an integer number (13335).

2253422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320040).

253422 is an abundant number, since it is smaller than the sum of its proper divisors (386658).

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

253422 is a wasteful number, since it uses less digits than its factorization.

253422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 37 counting only the distinct ones).

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

The square root of 253422 is about 503.4103693807. The cubic root of 253422 is about 63.2821809191.

Adding to 253422 its reverse (224352), we get a palindrome (477774).

It can be divided in two parts, 2534 and 22, that added together give a triangular number (2556 = T71).

The spelling of 253422 in words is "two hundred fifty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 361 494 513 702 722 741 1026 1083 1482 2166 2223 3249 4446 4693 6498 6669 9386 9747 13338 14079 19494 28158 42237 84474 126711 253422