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214756 = 22531013
BaseRepresentation
bin110100011011100100
3101220120221
4310123210
523333011
64334124
71553053
oct643344
9356527
10214756
11137393
12a4344
1376999
145839a
1543971
hex346e4

214756 has 12 divisors (see below), whose sum is σ = 383292. Its totient is φ = 105248.

The previous prime is 214741. The next prime is 214759. The reversal of 214756 is 657412.

214756 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 2 ways, for example, as 54756 + 160000 = 234^2 + 400^2 .

It is a super-2 number, since 2×2147562 = 92240279072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214756.

It is not an unprimeable number, because it can be changed into a prime (214759) by changing a digit.

214756 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, 295 + ... + 718.

It is an arithmetic number, because the mean of its divisors is an integer number (31941).

2214756 is an apocalyptic number.

It is an amenable number.

214756 is a deficient number, since it is larger than the sum of its proper divisors (168536).

214756 is a wasteful number, since it uses less digits than its factorization.

214756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1068 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 214756 is about 463.4177381154. The cubic root of 214756 is about 59.8845929775.

The spelling of 214756 in words is "two hundred fourteen thousand, seven hundred fifty-six".

Divisors: 1 2 4 53 106 212 1013 2026 4052 53689 107378 214756