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214281964836 = 2234257172
BaseRepresentation
bin1100011110010000110…
…0110100110100100100
3202111002200022200010000
43013210030310310210
512002322140333321
6242234554101300
721324051435312
oct3074414646444
9674080280100
10214281964836
1182970645825
123564271a830
131728c182b44
14a52abd50b2
155892202826
hex31e4334d24

214281964836 has 45 divisors (see below), whose sum is σ = 560197166529. Its totient is φ = 71424544176.

The previous prime is 214281964829. The next prime is 214281964849. The reversal of 214281964836 is 638469182412.

The square root of 214281964836 is 462906.

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

214281964836 is a `hidden beast` number, since 2 + 142 + 8 + 19 + 6 + 483 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128113884900 + 86168079936 = 357930^2 + 293544^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8319450 + ... + 8345166.

Almost surely, 2214281964836 is an apocalyptic number.

214281964836 is the 462906-th square number.

It is an amenable number.

214281964836 is an abundant number, since it is smaller than the sum of its proper divisors (345915201693).

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

214281964836 is an frugal number, since it uses more digits than its factorization.

214281964836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51450 (or 25722 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 214281964836 in words is "two hundred fourteen billion, two hundred eighty-one million, nine hundred sixty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 25717 51434 77151 102868 154302 231453 308604 462906 694359 925812 1388718 2083077 2777436 4166154 8332308 661364089 1322728178 1984092267 2645456356 3968184534 5952276801 7936369068 11904553602 17856830403 23809107204 35713660806 53570491209 71427321612 107140982418 214281964836