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272214 = 233712
BaseRepresentation
bin1000010011101010110
3111211102000
41002131112
532202324
65500130
72212425
oct1023526
9454360
10272214
11176578
12111646
1396b97
14712bc
15559c9
hex42756

272214 has 24 divisors (see below), whose sum is σ = 613560. Its totient is φ = 89460.

The previous prime is 272203. The next prime is 272227. The reversal of 272214 is 412272.

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

It is a Curzon number.

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 272214.

It is an unprimeable number.

272214 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3799 + ... + 3869.

It is an arithmetic number, because the mean of its divisors is an integer number (25565).

2272214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306780).

272214 is an abundant number, since it is smaller than the sum of its proper divisors (341346).

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

272214 is an equidigital number, since it uses as much as digits as its factorization.

272214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 76 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 272214 is about 521.7413152128. The cubic root of 272214 is about 64.8092236527.

Adding to 272214 its reverse (412272), we get a palindrome (684486).

It can be divided in two parts, 27221 and 4, that added together give a square (27225 = 1652).

The spelling of 272214 in words is "two hundred seventy-two thousand, two hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 3834 5041 10082 15123 30246 45369 90738 136107 272214