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22273123352481 = 32712221572
BaseRepresentation
bin1010001000001110111011…
…00110101111111110100001
32220212021211021002020010100
411010013131212233332201
510404410324034234411
6115212044232253013
74456115521512351
oct504073546577641
986767737066110
1022273123352481
117107a84523031
1225b881bb41169
13c574673c4c81
1457004c55ab61
15289595c06456
hex1441dd9affa1

22273123352481 has 27 divisors (see below), whose sum is σ = 32633275066483. Its totient is φ = 14638950871440.

The previous prime is 22273123352411. The next prime is 22273123352567. The reversal of 22273123352481 is 18425332137222.

It is a happy number.

The square root of 22273123352481 is 4719441.

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

22273123352481 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 3 + 12 + 33 + 524 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19019847380625 + 3253275971856 = 4361175^2 + 1803684^2 .

It is not a de Polignac number, because 22273123352481 - 241 = 20074100096929 is a prime.

It is a super-2 number, since 2×222731233524812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22273123352411) 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, 1005229855 + ... + 1005252011.

Almost surely, 222273123352481 is an apocalyptic number.

22273123352481 is the 4719441-st square number.

22273123352481 is the 2359721-st centered octagonal number.

It is an amenable number.

22273123352481 is a deficient number, since it is larger than the sum of its proper divisors (10360151714002).

22273123352481 is an frugal number, since it uses more digits than its factorization.

22273123352481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44462 (or 22231 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 22273123352481 in words is "twenty-two trillion, two hundred seventy-three billion, one hundred twenty-three million, three hundred fifty-two thousand, four hundred eighty-one".

Divisors: 1 3 9 71 213 639 5041 15123 22157 45369 66471 199413 1573147 4719441 14158323 111693437 335080311 490932649 1005240933 1472797947 4418393841 34856218079 104568654237 313705962711 2474791483609 7424374450827 22273123352481