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214152 = 2338923
BaseRepresentation
bin110100010010001000
3101212202120
4310102020
523323102
64331240
71551231
oct642210
9355676
10214152
11136994
12a3b20
1376623
1458088
15436bc
hex34488

214152 has 16 divisors (see below), whose sum is σ = 535440. Its totient is φ = 71376.

The previous prime is 214147. The next prime is 214163. The reversal of 214152 is 251412.

It is a super-2 number, since 2×2141522 = 91722158208, which contains 22 as substring.

It is a plaindrome in base 16.

It is a nialpdrome in base 8.

It is an unprimeable number.

214152 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 3 ways as a sum of consecutive naturals, for example, 4438 + ... + 4485.

It is an arithmetic number, because the mean of its divisors is an integer number (33465).

2214152 is an apocalyptic number.

It is an amenable number.

214152 is an abundant number, since it is smaller than the sum of its proper divisors (321288).

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

214152 is a wasteful number, since it uses less digits than its factorization.

214152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8932 (or 8928 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 214152 is about 462.7655994129. The cubic root of 214152 is about 59.8283985726.

Adding to 214152 its reverse (251412), we get a palindrome (465564).

The spelling of 214152 in words is "two hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 8923 17846 26769 35692 53538 71384 107076 214152