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422220 = 223531227
BaseRepresentation
bin1100111000101001100
3210110011210
41213011030
5102002340
613014420
73405651
oct1470514
9713153
10422220
11269247
12184410
1311a246
14adc28
1585180
hex6714c

422220 has 48 divisors (see below), whose sum is σ = 1225728. Its totient is φ = 108480.

The previous prime is 422209. The next prime is 422231. The reversal of 422220 is 22224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (422209) and next prime (422231).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422196 and 422205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1747 + ... + 1973.

It is an arithmetic number, because the mean of its divisors is an integer number (25536).

2422220 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 422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864).

422220 is an abundant number, since it is smaller than the sum of its proper divisors (803508).

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

422220 is a wasteful number, since it uses less digits than its factorization.

422220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 422220 is about 649.7845796878. The cubic root of 422220 is about 75.0204388740.

Adding to 422220 its reverse (22224), we get a palindrome (444444).

The spelling of 422220 in words is "four hundred twenty-two thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 227 310 372 454 465 620 681 908 930 1135 1362 1860 2270 2724 3405 4540 6810 7037 13620 14074 21111 28148 35185 42222 70370 84444 105555 140740 211110 422220