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214506201 = 3713785737
BaseRepresentation
bin11001100100100…
…01101011011001
3112221122001012010
430302101223121
5414403144301
633141340133
75213162340
oct1462215331
9487561163
10214506201
111000a0758
125ba07649
1335595c60
14206bab57
1513c725d6
hexcc91ad9

214506201 has 16 divisors (see below), whose sum is σ = 352010624. Its totient is φ = 113145984.

The previous prime is 214506197. The next prime is 214506239. The reversal of 214506201 is 102605412.

214506201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214506201 - 22 = 214506197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (214506001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392596 + ... + 393141.

It is an arithmetic number, because the mean of its divisors is an integer number (22000664).

Almost surely, 2214506201 is an apocalyptic number.

214506201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214506201 is a deficient number, since it is larger than the sum of its proper divisors (137504423).

214506201 is a wasteful number, since it uses less digits than its factorization.

214506201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785760.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 214506201 is about 14646.0302129963. The cubic root of 214506201 is about 598.6136519768.

The spelling of 214506201 in words is "two hundred fourteen million, five hundred six thousand, two hundred one".

Divisors: 1 3 7 13 21 39 91 273 785737 2357211 5500159 10214581 16500477 30643743 71502067 214506201