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2216295 = 33516417
BaseRepresentation
bin1000011101000101100111
311011121012000
420131011213
51031410140
6115300343
724560334
oct10350547
94147160
102216295
111284154
128aa6b3
135c7a23
1441998b
152dba30
hex21d167

2216295 has 16 divisors (see below), whose sum is σ = 3940320. Its totient is φ = 1181952.

The previous prime is 2216287. The next prime is 2216299. The reversal of 2216295 is 5926122.

2216295 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 2216295 - 23 = 2216287 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 22 + 28 + 1 + 62 + 218 + 93 + 59 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216299) 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 15 ways as a sum of consecutive naturals, for example, 8074 + ... + 8343.

It is an arithmetic number, because the mean of its divisors is an integer number (246270).

22216295 is an apocalyptic number.

2216295 is a deficient number, since it is larger than the sum of its proper divisors (1724025).

2216295 is a wasteful number, since it uses less digits than its factorization.

2216295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16431 (or 16425 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2216295 is about 1488.7226068009. The cubic root of 2216295 is about 130.3794632807.

The spelling of 2216295 in words is "two million, two hundred sixteen thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 135 16417 49251 82085 147753 246255 443259 738765 2216295