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214027416 = 233217174859
BaseRepresentation
bin11001100000111…
…00110010011000
3112220201201102100
430300130302120
5414242334131
633123203400
75206126431
oct1460346230
9486651370
10214027416
11aa8a3a69
125b816560
1335459055
14205d4488
1513bca7e6
hexcc1cc98

214027416 has 48 divisors (see below), whose sum is σ = 613758600. Its totient is φ = 67145472.

The previous prime is 214027403. The next prime is 214027423. The reversal of 214027416 is 614720412.

214027416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2140274163 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214027416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86206 + ... + 88653.

Almost surely, 2214027416 is an apocalyptic number.

It is an amenable number.

214027416 is an abundant number, since it is smaller than the sum of its proper divisors (399731184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214027416 is a wasteful number, since it uses less digits than its factorization.

214027416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174888 (or 174881 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 214027416 is about 14629.6758679063. The cubic root of 214027416 is about 598.1679449844.

Adding to 214027416 its reverse (614720412), we get a palindrome (828747828).

The spelling of 214027416 in words is "two hundred fourteen million, twenty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 174859 349718 524577 699436 1049154 1398872 1573731 2098308 2972603 3147462 4196616 5945206 6294924 8917809 11890412 12589848 17835618 23780824 26753427 35671236 53506854 71342472 107013708 214027416