Search a number
-
+
214328401 = 7217257297
BaseRepresentation
bin11001100011001…
…10010001010001
3112221022000021221
430301212101101
5414332002101
633133445041
75211522100
oct1461462121
9487260257
10214328401
11aaa8a111
125b940781
1335533051
1420672037
1513c39aa1
hexcc66451

214328401 has 12 divisors (see below), whose sum is σ = 263987748. Its totient is φ = 172902912.

The previous prime is 214328399. The next prime is 214328407. The reversal of 214328401 is 104823412.

It can be written as a sum of positive squares in 2 ways, for example, as 119246400 + 95082001 = 10920^2 + 9751^2 .

It is not a de Polignac number, because 214328401 - 21 = 214328399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214328407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127816 + ... + 129481.

It is an arithmetic number, because the mean of its divisors is an integer number (21998979).

Almost surely, 2214328401 is an apocalyptic number.

It is an amenable number.

214328401 is a deficient number, since it is larger than the sum of its proper divisors (49659347).

214328401 is a wasteful number, since it uses less digits than its factorization.

214328401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257328 (or 257321 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 214328401 is about 14639.9590504892. The cubic root of 214328401 is about 598.4482132044.

The spelling of 214328401 in words is "two hundred fourteen million, three hundred twenty-eight thousand, four hundred one".

Divisors: 1 7 17 49 119 833 257297 1801079 4374049 12607553 30618343 214328401