Search a number
-
+
2272172 = 227194271
BaseRepresentation
bin1000101010101110101100
311021102211112
420222232230
51040202142
6120411152
725212260
oct10525654
94242745
102272172
111312131
12916ab8
136172a6
144320a0
152ed382
hex22abac

2272172 has 24 divisors (see below), whose sum is σ = 4784640. Its totient is φ = 922320.

The previous prime is 2272141. The next prime is 2272177. The reversal of 2272172 is 2712722.

2272172 is nontrivially palindromic in base 11.

2272172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2272177) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1604 + ... + 2667.

It is an arithmetic number, because the mean of its divisors is an integer number (199360).

22272172 is an apocalyptic number.

It is an amenable number.

2272172 is an abundant number, since it is smaller than the sum of its proper divisors (2512468).

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

2272172 is a wasteful number, since it uses less digits than its factorization.

2272172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4299 counting only the distinct ones).

The product of its digits is 784, while the sum is 23.

The square root of 2272172 is about 1507.3725485095. The cubic root of 2272172 is about 131.4660863742.

Adding to 2272172 its reverse (2712722), we get a palindrome (4984894).

The spelling of 2272172 in words is "two million, two hundred seventy-two thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 4271 8542 17084 29897 59794 81149 119588 162298 324596 568043 1136086 2272172