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214292609 = 4110151749
BaseRepresentation
bin11001100010111…
…01100010000001
3112221020012012022
430301131202001
5414324330414
633133011225
75211312536
oct1461354201
9487205168
10214292609
11aaa65233
125b923b15
133551c97b
1420662d8d
1513c2e18e
hexcc5d881

214292609 has 8 divisors (see below), whose sum is σ = 221697000. Its totient is φ = 206992000.

The previous prime is 214292591. The next prime is 214292627. The reversal of 214292609 is 906292412.

It is an interprime number because it is at equal distance from previous prime (214292591) and next prime (214292627).

It can be written as a sum of positive squares in 4 ways, for example, as 50452609 + 163840000 = 7103^2 + 12800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 214292609 - 220 = 213244033 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214292669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21734 + ... + 30015.

It is an arithmetic number, because the mean of its divisors is an integer number (27712125).

Almost surely, 2214292609 is an apocalyptic number.

It is an amenable number.

214292609 is a deficient number, since it is larger than the sum of its proper divisors (7404391).

214292609 is a wasteful number, since it uses less digits than its factorization.

214292609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51891.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 214292609 is about 14638.7365916598. The cubic root of 214292609 is about 598.4148985172.

The spelling of 214292609 in words is "two hundred fourteen million, two hundred ninety-two thousand, six hundred nine".

Divisors: 1 41 101 4141 51749 2121709 5226649 214292609