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2272101 = 3131723149
BaseRepresentation
bin1000101010101101100101
311021102201220
420222231211
51040201401
6120410553
725212126
oct10525545
94242656
102272101
111312077
12916a59
13617250
1443204d
152ed336
hex22ab65

2272101 has 32 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 1250304.

The previous prime is 2272087. The next prime is 2272103. The reversal of 2272101 is 1012722.

2272101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2272101 - 213 = 2263909 is a prime.

It is a Curzon number.

2272101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272103) 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 31 ways as a sum of consecutive naturals, for example, 15175 + ... + 15323.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22272101 is an apocalyptic number.

It is an amenable number.

2272101 is a deficient number, since it is larger than the sum of its proper divisors (1356699).

2272101 is a wasteful number, since it uses less digits than its factorization.

2272101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2272101 is about 1507.3489974123. The cubic root of 2272101 is about 131.4647170252.

Adding to 2272101 its reverse (1012722), we get a palindrome (3284823).

The spelling of 2272101 in words is "two million, two hundred seventy-two thousand, one hundred one".

Divisors: 1 3 13 17 23 39 51 69 149 221 299 391 447 663 897 1173 1937 2533 3427 5083 5811 7599 10281 15249 32929 44551 58259 98787 133653 174777 757367 2272101