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214370 = 25131797
BaseRepresentation
bin110100010101100010
3101220001122
4310111202
523324440
64332242
71551662
oct642542
9356048
10214370
11137072
12a4082
1376760
14581a2
15437b5
hex34562

214370 has 32 divisors (see below), whose sum is σ = 444528. Its totient is φ = 73728.

The previous prime is 214363. The next prime is 214373. The reversal of 214370 is 73412.

214370 = T65 + T66 + ... + T115.

It is a happy number.

214370 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4632+1.

It can be written as a sum of positive squares in 8 ways, for example, as 76729 + 137641 = 277^2 + 371^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214370.

It is not an unprimeable number, because it can be changed into a prime (214373) by changing a digit.

214370 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 15 ways as a sum of consecutive naturals, for example, 2162 + ... + 2258.

2214370 is an apocalyptic number.

214370 is an abundant number, since it is smaller than the sum of its proper divisors (230158).

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

214370 is a wasteful number, since it uses less digits than its factorization.

214370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 214370 is about 463.0010799123. The cubic root of 214370 is about 59.8486928305.

Adding to 214370 its reverse (73412), we get a palindrome (287782).

The spelling of 214370 in words is "two hundred fourteen thousand, three hundred seventy", and thus it is an iban number.

Divisors: 1 2 5 10 13 17 26 34 65 85 97 130 170 194 221 442 485 970 1105 1261 1649 2210 2522 3298 6305 8245 12610 16490 21437 42874 107185 214370