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214009791 = 341242437
BaseRepresentation
bin11001100000110…
…00011110111111
3112220200211020120
430300120132333
5414241303131
633122550023
75206024152
oct1460303677
9486624216
10214009791
11aa8917a6
125b808313
1335451018
14205cbc99
1513bc5496
hexcc187bf

214009791 has 12 divisors (see below), whose sum is σ = 292482696. Its totient is φ = 139190080.

The previous prime is 214009781. The next prime is 214009819. The reversal of 214009791 is 197900412.

It is not a de Polignac number, because 214009791 - 25 = 214009759 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214009721) 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, 16176 + ... + 26261.

It is an arithmetic number, because the mean of its divisors is an integer number (24373558).

Almost surely, 2214009791 is an apocalyptic number.

214009791 is a deficient number, since it is larger than the sum of its proper divisors (78472905).

214009791 is an equidigital number, since it uses as much as digits as its factorization.

214009791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42522 (or 42481 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 214009791 is about 14629.0734839907. The cubic root of 214009791 is about 598.1515249705.

The spelling of 214009791 in words is "two hundred fourteen million, nine thousand, seven hundred ninety-one".

Divisors: 1 3 41 123 1681 5043 42437 127311 1739917 5219751 71336597 214009791