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214210431 = 32231034833
BaseRepresentation
bin11001100010010…
…01011101111111
3112221002000110200
430301021131333
5414314213211
633131134543
75210521131
oct1461113577
9487060420
10214210431
11aaa09516
125b8a4453
13354c1446
1420641051
1513c14b56
hexcc4977f

214210431 has 12 divisors (see below), whose sum is σ = 322868208. Its totient is φ = 136597824.

The previous prime is 214210417. The next prime is 214210459. The reversal of 214210431 is 134012412.

214210431 is a `hidden beast` number, since 21 + 4 + 210 + 431 = 666.

It is not a de Polignac number, because 214210431 - 27 = 214210303 is a prime.

It is a super-2 number, since 2×2142104312 = 91772217498411522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214210411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517210 + ... + 517623.

It is an arithmetic number, because the mean of its divisors is an integer number (26905684).

Almost surely, 2214210431 is an apocalyptic number.

214210431 is a deficient number, since it is larger than the sum of its proper divisors (108657777).

214210431 is a wasteful number, since it uses less digits than its factorization.

214210431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034862 (or 1034859 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214210431 is about 14635.9294545990. The cubic root of 214210431 is about 598.3383943589.

Adding to 214210431 its reverse (134012412), we get a palindrome (348222843).

The spelling of 214210431 in words is "two hundred fourteen million, two hundred ten thousand, four hundred thirty-one".

Divisors: 1 3 9 23 69 207 1034833 3104499 9313497 23801159 71403477 214210431