Search a number
-
+
214378112 = 2713128833
BaseRepresentation
bin11001100011100…
…10011010000000
3112221101112111002
430301302122000
5414340044422
633134511132
75212120034
oct1461623200
9487345432
10214378112
111000134a3
125b9654a8
133554c870
14206861c4
1513c49692
hexcc72680

214378112 has 32 divisors (see below), whose sum is σ = 459937380. Its totient is φ = 98942976.

The previous prime is 214378103. The next prime is 214378117. The reversal of 214378112 is 211873412.

It can be written as a sum of positive squares in 2 ways, for example, as 203461696 + 10916416 = 14264^2 + 3304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (214378117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62753 + ... + 66080.

Almost surely, 2214378112 is an apocalyptic number.

It is an amenable number.

214378112 is an abundant number, since it is smaller than the sum of its proper divisors (245559268).

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

214378112 is a wasteful number, since it uses less digits than its factorization.

214378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128860 (or 128848 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 214378112 is about 14641.6567368587. The cubic root of 214378112 is about 598.4944773474.

The spelling of 214378112 in words is "two hundred fourteen million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 128833 257666 515332 1030664 1674829 2061328 3349658 4122656 6699316 8245312 13398632 16490624 26797264 53594528 107189056 214378112