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422268 = 223711457
BaseRepresentation
bin1100111000101111100
3210110020120
41213011330
5102003033
613014540
73406050
oct1470574
9713216
10422268
11269290
12184450
1311a282
14adc60
15851b3
hex6717c

422268 has 48 divisors (see below), whose sum is σ = 1231104. Its totient is φ = 109440.

The previous prime is 422267. The next prime is 422287. The reversal of 422268 is 862224.

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 422268.

It is not an unprimeable number, because it can be changed into a prime (422267) 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 15 ways as a sum of consecutive naturals, for example, 696 + ... + 1152.

It is an arithmetic number, because the mean of its divisors is an integer number (25648).

2422268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615552).

422268 is an abundant number, since it is smaller than the sum of its proper divisors (808836).

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

422268 is a wasteful number, since it uses less digits than its factorization.

422268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 480 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 422268 is about 649.8215139559. The cubic root of 422268 is about 75.0232816610.

The spelling of 422268 in words is "four hundred twenty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 457 462 914 924 1371 1828 2742 3199 5027 5484 6398 9597 10054 12796 15081 19194 20108 30162 35189 38388 60324 70378 105567 140756 211134 422268