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214956 = 22327853
BaseRepresentation
bin110100011110101100
3101220212100
4310132230
523334311
64335100
71553460
oct643654
9356770
10214956
11137555
12a4490
1376ac1
14584a0
1543a56
hex347ac

214956 has 36 divisors (see below), whose sum is σ = 621712. Its totient is φ = 61344.

The previous prime is 214943. The next prime is 214967. The reversal of 214956 is 659412.

214956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 16.

It is an unprimeable number.

214956 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 11 ways as a sum of consecutive naturals, for example, 175 + ... + 678.

2214956 is an apocalyptic number.

It is an amenable number.

214956 is an abundant number, since it is smaller than the sum of its proper divisors (406756).

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

214956 is a wasteful number, since it uses less digits than its factorization.

214956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 865 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 214956 is about 463.6334759268. The cubic root of 214956 is about 59.9031771730.

The spelling of 214956 in words is "two hundred fourteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 853 1706 2559 3412 5118 5971 7677 10236 11942 15354 17913 23884 30708 35826 53739 71652 107478 214956