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214992 = 24321493
BaseRepresentation
bin110100011111010000
3101220220200
4310133100
523334432
64335200
71553541
oct643720
9356820
10214992
11137588
12a4500
1376b1b
14584c8
1543a7c
hex347d0

214992 has 30 divisors (see below), whose sum is σ = 602082. Its totient is φ = 71616.

The previous prime is 214987. The next prime is 214993. The reversal of 214992 is 299412.

214992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 7056 = 456^2 + 84^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214993) 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, 603 + ... + 890.

2214992 is an apocalyptic number.

It is an amenable number.

214992 is an abundant number, since it is smaller than the sum of its proper divisors (387090).

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

214992 is a wasteful number, since it uses less digits than its factorization.

214992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1498 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 214992 is about 463.6722980727. The cubic root of 214992 is about 59.9065211039.

The spelling of 214992 in words is "two hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1493 2986 4479 5972 8958 11944 13437 17916 23888 26874 35832 53748 71664 107496 214992