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422212 = 22717887
BaseRepresentation
bin1100111000101000100
3210110011111
41213011010
5102002322
613014404
73405640
oct1470504
9713144
10422212
1126923a
12184404
1311a23b
14adc20
1585177
hex67144

422212 has 24 divisors (see below), whose sum is σ = 895104. Its totient is φ = 170112.

The previous prime is 422209. The next prime is 422231. The reversal of 422212 is 212224.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422192 and 422201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 919.

It is an arithmetic number, because the mean of its divisors is an integer number (37296).

2422212 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 422212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447552).

422212 is an abundant number, since it is smaller than the sum of its proper divisors (472892).

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

422212 is a wasteful number, since it uses less digits than its factorization.

422212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 913 counting only the distinct ones).

The product of its digits is 64, while the sum is 13.

The square root of 422212 is about 649.7784237723. The cubic root of 422212 is about 75.0199650552.

Adding to 422212 its reverse (212224), we get a palindrome (634436).

The spelling of 422212 in words is "four hundred twenty-two thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 887 1774 3548 6209 12418 15079 24836 30158 60316 105553 211106 422212