Base | Representation |
---|---|
bin | 1100111001010010010… |
… | …0011000010110010000 |
3 | 210011211012212121022100 |
4 | 3032110210120112100 |
5 | 12112201142200401 |
6 | 245434443040400 |
7 | 22001603024442 |
oct | 3162444302620 |
9 | 704735777270 |
10 | 221535896976 |
11 | 85a53269369 |
12 | 36b27b10100 |
13 | 17b76c77194 |
14 | aa18372492 |
15 | 5b68e7ab86 |
hex | 3394918590 |
221535896976 has 135 divisors (see below), whose sum is σ = 631305069057. Its totient is φ = 72521758080.
The previous prime is 221535896851. The next prime is 221535896977. The reversal of 221535896976 is 679698535122.
The square root of 221535896976 is 470676.
It is a perfect power (a square), and thus also a powerful number.
221535896976 is a `hidden beast` number, since 2 + 2 + 1 + 535 + 8 + 9 + 6 + 97 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 7203935376 + 214331961600 = 84876^2 + 462960^2 .
It is not an unprimeable number, because it can be changed into a prime (221535896977) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 344534511 + ... + 344535153.
Almost surely, 2221535896976 is an apocalyptic number.
221535896976 is the 470676-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221535896976
221535896976 is an abundant number, since it is smaller than the sum of its proper divisors (409769172081).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221535896976 is an frugal number, since it uses more digits than its factorization.
221535896976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1422 (or 709 counting only the distinct ones).
The product of its digits is 48988800, while the sum is 63.
The spelling of 221535896976 in words is "two hundred twenty-one billion, five hundred thirty-five million, eight hundred ninety-six thousand, nine hundred seventy-six".
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