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213227838756 = 2232769612
BaseRepresentation
bin1100011010010101011…
…1101001110100100100
3202101101012210111222100
43012211113221310210
511443142311320011
6241542220332100
721255661503402
oct3064527516444
9671335714870
10213227838756
118247a613249
12353a96a4030
13171519744ba
14a46abd8472
15582e8cdd56
hex31a55e9d24

213227838756 has 27 divisors (see below), whose sum is σ = 538999595953. Its totient is φ = 71075022720.

The previous prime is 213227838743. The next prime is 213227838773. The reversal of 213227838756 is 657838722312.

The square root of 213227838756 is 461766.

It is a perfect power (a square), and thus also a powerful number.

213227838756 is a `hidden beast` number, since 213 + 227 + 83 + 87 + 56 = 666.

213227838756 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 only one way, i.e., 14169093156 + 199058745600 = 119034^2 + 446160^2 .

It is a super-2 number, since 2×2132278387562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2732116 + ... + 2809076.

Almost surely, 2213227838756 is an apocalyptic number.

213227838756 is the 461766-th square number.

It is an amenable number.

213227838756 is an abundant number, since it is smaller than the sum of its proper divisors (325771757197).

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

213227838756 is an frugal number, since it uses more digits than its factorization.

213227838756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153932 (or 76966 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 213227838756 in words is "two hundred thirteen billion, two hundred twenty-seven million, eight hundred thirty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 76961 153922 230883 307844 461766 692649 923532 1385298 2770596 5922995521 11845991042 17768986563 23691982084 35537973126 53306959689 71075946252 106613919378 213227838756