Search a number
-
+
2208312 = 233230671
BaseRepresentation
bin1000011011001000111000
311011012020100
420123020320
51031131222
6115155400
724525141
oct10331070
94135210
102208312
111279157
128a5b60
135c41c2
14416ac8
152d94ac
hex21b238

2208312 has 24 divisors (see below), whose sum is σ = 5981040. Its totient is φ = 736080.

The previous prime is 2208281. The next prime is 2208319. The reversal of 2208312 is 2138022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15264 + ... + 15407.

It is an arithmetic number, because the mean of its divisors is an integer number (249210).

22208312 is an apocalyptic number.

It is an amenable number.

2208312 is an abundant number, since it is smaller than the sum of its proper divisors (3772728).

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

2208312 is a wasteful number, since it uses less digits than its factorization.

2208312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30683 (or 30676 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2208312 is about 1486.0390304430. The cubic root of 2208312 is about 130.2227345323. Note that the first 3 decimals are identical.

The spelling of 2208312 in words is "two million, two hundred eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30671 61342 92013 122684 184026 245368 276039 368052 552078 736104 1104156 2208312