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2162272 = 2573197
BaseRepresentation
bin1000001111111001100000
311001212002011
420033321200
51023143042
6114202304
724244000
oct10177140
94055064
102162272
111247602
12883394
135a9268
14404000
152caa17
hex20fe60

2162272 has 48 divisors (see below), whose sum is σ = 4989600. Its totient is φ = 921984.

The previous prime is 2162263. The next prime is 2162273. The reversal of 2162272 is 2722612.

2162272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162273) 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, 10878 + ... + 11074.

It is an arithmetic number, because the mean of its divisors is an integer number (103950).

22162272 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 2162272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494800).

2162272 is an abundant number, since it is smaller than the sum of its proper divisors (2827328).

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

2162272 is an equidigital number, since it uses as much as digits as its factorization.

2162272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 2162272 is about 1470.4665926161. The cubic root of 2162272 is about 129.3113884426.

Adding to 2162272 its reverse (2722612), we get a palindrome (4884884).

The spelling of 2162272 in words is "two million, one hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 197 224 343 392 394 686 784 788 1372 1379 1568 1576 2744 2758 3152 5488 5516 6304 9653 10976 11032 19306 22064 38612 44128 67571 77224 135142 154448 270284 308896 540568 1081136 2162272