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214332 = 22353337
BaseRepresentation
bin110100010100111100
3101220000020
4310110330
523324312
64332140
71551606
oct642474
9356006
10214332
11137038
12a4050
1376731
1458176
154378c
hex3453c

214332 has 24 divisors (see below), whose sum is σ = 511056. Its totient is φ = 69888.

The previous prime is 214309. The next prime is 214351. The reversal of 214332 is 233412.

214332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468 + ... + 804.

It is an arithmetic number, because the mean of its divisors is an integer number (21294).

2214332 is an apocalyptic number.

It is an amenable number.

214332 is an abundant number, since it is smaller than the sum of its proper divisors (296724).

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

214332 is a wasteful number, since it uses less digits than its factorization.

214332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 214332 is about 462.9600414723. The cubic root of 214332 is about 59.8451562897.

Adding to 214332 its reverse (233412), we get a palindrome (447744).

The spelling of 214332 in words is "two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 337 636 674 1011 1348 2022 4044 17861 35722 53583 71444 107166 214332