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214120818 = 23234492
BaseRepresentation
bin11001100001100…
…11100101110010
3112220220110112200
430300303211302
5414303331233
633125204030
75206665642
oct1460634562
9486813480
10214120818
11aa95815a
125b860616
133548c712
142061a522
1513be8313
hexcc33972

214120818 has 18 divisors (see below), whose sum is σ = 464062989. Its totient is φ = 71352912.

The previous prime is 214120801. The next prime is 214120843. The reversal of 214120818 is 818021412.

214120818 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 122478489 + 91642329 = 11067^2 + 9573^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10347.

It is a junction number, because it is equal to n+sod(n) for n = 214120791 and 214120800.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60358 + ... + 63806.

Almost surely, 2214120818 is an apocalyptic number.

214120818 is an abundant number, since it is smaller than the sum of its proper divisors (249942171).

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

214120818 is an frugal number, since it uses more digits than its factorization.

214120818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6906 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 214120818 is about 14632.8677298744. The cubic root of 214120818 is about 598.2549462327.

The spelling of 214120818 in words is "two hundred fourteen million, one hundred twenty thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 3449 6898 10347 20694 31041 62082 11895601 23791202 35686803 71373606 107060409 214120818