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214850881 = 71091931459
BaseRepresentation
bin11001100111001…
…01110101000001
3112222021120000001
430303211311001
5420000212011
633153000001
75216126260
oct1463456501
9488246001
10214850881
11100306713
125bb53001
1335686acb
142076a5d7
1513cde7c1
hexcce5d41

214850881 has 16 divisors (see below), whose sum is σ = 249251200. Its totient is φ = 181398528.

The previous prime is 214850869. The next prime is 214850887. The reversal of 214850881 is 188058412.

It is a happy number.

214850881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 2-Lehmer number, since φ(214850881) divides (214850881-1)2.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 214850881 - 213 = 214842689 is a prime.

It is a super-2 number, since 2×2148508812 = 92321802132952322, which contains 22 as substring.

It is a deceptive number, since it divides R214850880.

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 214850881.

It is not an unprimeable number, because it can be changed into a prime (214850887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146530 + ... + 147988.

It is an arithmetic number, because the mean of its divisors is an integer number (15578200).

It is a Poulet number, since it divides 2214850880-1.

Almost surely, 2214850881 is an apocalyptic number.

It is an amenable number.

214850881 is a deficient number, since it is larger than the sum of its proper divisors (34400319).

214850881 is a wasteful number, since it uses less digits than its factorization.

214850881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768.

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 214850881 is about 14657.7925009191. The cubic root of 214850881 is about 598.9341085061.

The spelling of 214850881 in words is "two hundred fourteen million, eight hundred fifty thousand, eight hundred eighty-one".

Divisors: 1 7 109 193 763 1351 1459 10213 21037 147259 159031 281587 1113217 1971109 30692983 214850881