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214980 = 22353583
BaseRepresentation
bin110100011111000100
3101220220020
4310133010
523334410
64335140
71553523
oct643704
9356806
10214980
11137577
12a44b0
1376b0c
14584ba
1543a70
hex347c4

214980 has 24 divisors (see below), whose sum is σ = 602112. Its totient is φ = 57312.

The previous prime is 214967. The next prime is 214987. The reversal of 214980 is 89412.

214980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 214980.

It is not an unprimeable number, because it can be changed into a prime (214987) by changing a digit.

214980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1732 + ... + 1851.

It is an arithmetic number, because the mean of its divisors is an integer number (25088).

2214980 is an apocalyptic number.

214980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214980 is an abundant number, since it is smaller than the sum of its proper divisors (387132).

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

214980 is a wasteful number, since it uses less digits than its factorization.

214980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 214980 is about 463.6593577186. The cubic root of 214980 is about 59.9054065018.

The spelling of 214980 in words is "two hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3583 7166 10749 14332 17915 21498 35830 42996 53745 71660 107490 214980