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214309521 = 3240495881
BaseRepresentation
bin11001100011000…
…01101010010001
3112221021001101200
430301201222101
5414330401041
633133221413
75211413046
oct1461415221
9487231350
10214309521
11aaa76a08
125b931869
133552758a
14206691cd
1513c341b6
hexcc61a91

214309521 has 12 divisors (see below), whose sum is σ = 309687300. Its totient is φ = 142813440.

The previous prime is 214309489. The next prime is 214309523. The reversal of 214309521 is 125903412.

It can be written as a sum of positive squares in 2 ways, for example, as 117483921 + 96825600 = 10839^2 + 9840^2 .

It is not a de Polignac number, because 214309521 - 25 = 214309489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214309523) 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, 33501 + ... + 39381.

It is an arithmetic number, because the mean of its divisors is an integer number (25807275).

Almost surely, 2214309521 is an apocalyptic number.

It is an amenable number.

214309521 is a deficient number, since it is larger than the sum of its proper divisors (95377779).

214309521 is a wasteful number, since it uses less digits than its factorization.

214309521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9936 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 214309521 is about 14639.3142257416. The cubic root of 214309521 is about 598.4306404297.

The spelling of 214309521 in words is "two hundred fourteen million, three hundred nine thousand, five hundred twenty-one".

Divisors: 1 3 9 4049 5881 12147 17643 36441 52929 23812169 71436507 214309521