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217028431 = 19293071283
BaseRepresentation
bin11001110111110…
…01011101001111
3120010101012001001
430323321131033
5421024402211
633311401131
75243465644
oct1473713517
9503335031
10217028431
11101563744
12608231a7
1335c69cb9
1420b75dcb
15140beac1
hexcef974f

217028431 has 16 divisors (see below), whose sum is σ = 237283200. Its totient is φ = 197715168.

The previous prime is 217028419. The next prime is 217028459. The reversal of 217028431 is 134820712.

It is a cyclic number.

It is not a de Polignac number, because 217028431 - 219 = 216504143 is a prime.

It is a super-2 number, since 2×2170284312 = 94202679724643522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 217028431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217028401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168516 + ... + 169798.

It is an arithmetic number, because the mean of its divisors is an integer number (14830200).

Almost surely, 2217028431 is an apocalyptic number.

217028431 is a deficient number, since it is larger than the sum of its proper divisors (20254769).

217028431 is a wasteful number, since it uses less digits than its factorization.

217028431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 217028431 is about 14731.8848420696. The cubic root of 217028431 is about 600.9507436078.

The spelling of 217028431 in words is "two hundred seventeen million, twenty-eight thousand, four hundred thirty-one".

Divisors: 1 19 29 307 551 1283 5833 8903 24377 37207 169157 393881 706933 7483739 11422549 217028431