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221216893569 = 3272223972
BaseRepresentation
bin1100111000000110001…
…1011110101010000001
3210010222222121112220100
43032001203132222001
512111023011043234
6245343045433013
721660650366400
oct3160143365201
9703888545810
10221216893569
11858aa195391
1236a5910b769
1317b25b54779
14a9c7c53637
155b4ae66399
hex33818dea81

221216893569 has 27 divisors (see below), whose sum is σ = 371721173187. Its totient is φ = 126404009424.

The previous prime is 221216893529. The next prime is 221216893571. The reversal of 221216893569 is 965398612122.

The square root of 221216893569 is 470337.

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

221216893569 is a `hidden beast` number, since 2 + 2 + 12 + 1 + 68 + 9 + 3 + 569 = 666.

It can be written as a sum of positive squares in only one way, i.e., 213541031025 + 7675862544 = 462105^2 + 87612^2 .

It is not a de Polignac number, because 221216893569 - 215 = 221216860801 is a prime.

It is a super-2 number, since 2×2212168935692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221216893529) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 9865879 + ... + 9888275.

Almost surely, 2221216893569 is an apocalyptic number.

221216893569 is the 470337-th square number.

221216893569 is the 235169-th centered octagonal number.

It is an amenable number.

221216893569 is a deficient number, since it is larger than the sum of its proper divisors (150504279618).

221216893569 is an frugal number, since it uses more digits than its factorization.

221216893569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44814 (or 22407 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 221216893569 in words is "two hundred twenty-one billion, two hundred sixteen million, eight hundred ninety-three thousand, five hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 22397 67191 156779 201573 470337 1097453 1411011 3292359 9877077 501625609 1504876827 3511379263 4514630481 10534137789 24579654841 31602413367 73738964523 221216893569