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226422 = 2337599
BaseRepresentation
bin110111010001110110
3102111121000
4313101312
524221142
64504130
71632060
oct672166
9374530
10226422
11145129
12ab046
137c0a1
145c730
154714c
hex37476

226422 has 32 divisors (see below), whose sum is σ = 576000. Its totient is φ = 64584.

The previous prime is 226409. The next prime is 226427. The reversal of 226422 is 224622.

It is a happy number.

226422 is a `hidden beast` number, since 22 + 642 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 226395 and 226404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226427) by changing a digit.

226422 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 79 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2226422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288000).

226422 is an abundant number, since it is smaller than the sum of its proper divisors (349578).

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

226422 is a wasteful number, since it uses less digits than its factorization.

226422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 226422 is about 475.8382077976. The cubic root of 226422 is about 60.9498826907.

The spelling of 226422 in words is "two hundred twenty-six thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 599 1198 1797 3594 4193 5391 8386 10782 12579 16173 25158 32346 37737 75474 113211 226422