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222072 = 23319487
BaseRepresentation
bin110110001101111000
3102021121220
4312031320
524101242
64432040
71613304
oct661570
9367556
10222072
11141934
12a8620
137a106
145ad04
1545bec
hex36378

222072 has 32 divisors (see below), whose sum is σ = 585600. Its totient is φ = 69984.

The previous prime is 222067. The next prime is 222073. The reversal of 222072 is 270222.

It is a nialpdrome in base 12.

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 222072.

It is not an unprimeable number, because it can be changed into a prime (222073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (18300).

2222072 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 222072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292800).

222072 is an abundant number, since it is smaller than the sum of its proper divisors (363528).

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

222072 is a wasteful number, since it uses less digits than its factorization.

222072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 222072 is about 471.2451591263. The cubic root of 222072 is about 60.5570347564.

Adding to 222072 its reverse (270222), we get a palindrome (492294).

It can be divided in two parts, 2 and 22072, that multiplied together give a palindrome (44144).

The spelling of 222072 in words is "two hundred twenty-two thousand, seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 487 974 1461 1948 2922 3896 5844 9253 11688 18506 27759 37012 55518 74024 111036 222072