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2213127 = 32735129
BaseRepresentation
bin1000011100010100000111
311011102211200
420130110013
51031310002
6115233543
724545160
oct10342407
94142750
102213127
111281834
128a88b3
135c6457
14418767
152dab1c
hex21c507

2213127 has 12 divisors (see below), whose sum is σ = 3653520. Its totient is φ = 1264608.

The previous prime is 2213093. The next prime is 2213137. The reversal of 2213127 is 7213122.

It is not a de Polignac number, because 2213127 - 28 = 2212871 is a prime.

It is a super-2 number, since 2×22131272 = 9795862236258, which contains 22 as substring.

2213127 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17502 + ... + 17627.

It is an arithmetic number, because the mean of its divisors is an integer number (304460).

22213127 is an apocalyptic number.

2213127 is a deficient number, since it is larger than the sum of its proper divisors (1440393).

2213127 is a wasteful number, since it uses less digits than its factorization.

2213127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35142 (or 35139 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2213127 is about 1487.6582268787. The cubic root of 2213127 is about 130.3173116419.

Adding to 2213127 its reverse (7213122), we get a palindrome (9426249).

The spelling of 2213127 in words is "two million, two hundred thirteen thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 21 63 35129 105387 245903 316161 737709 2213127