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221060769241 = 1325926132
BaseRepresentation
bin1100110111100000111…
…1111010010111011001
3210010121002211121120211
43031320033322113121
512110213024103431
6245315351251121
721654043351414
oct3157017722731
9703532747524
10221060769241
118582a04a914
1236a14979aa1
1317acc6c0100
14a9b1212b7b
155b3c3c72b1
hex33783fa5d9

221060769241 has 27 divisors (see below), whose sum is σ = 243897313149. Its totient is φ = 200270277792.

The previous prime is 221060769211. The next prime is 221060769247. The reversal of 221060769241 is 142967060122.

The square root of 221060769241 is 470171.

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

It can be written as a sum of positive squares in 4 ways, for example, as 178904466841 + 42156302400 = 422971^2 + 205320^2 .

It is not a de Polignac number, because 221060769241 - 29 = 221060768729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221060769194 and 221060769203.

It is not an unprimeable number, because it can be changed into a prime (221060769247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 360620851 + ... + 360621463.

Almost surely, 2221060769241 is an apocalyptic number.

221060769241 is the 470171-st square number.

221060769241 is the 235086-th centered octagonal number.

It is an amenable number.

221060769241 is a deficient number, since it is larger than the sum of its proper divisors (22836543908).

221060769241 is an frugal number, since it uses more digits than its factorization.

221060769241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 221060769241 in words is "two hundred twenty-one billion, sixty million, seven hundred sixty-nine thousand, two hundred forty-one".

Divisors: 1 13 59 169 613 767 3481 7969 9971 36167 45253 103597 375769 470171 588289 2133853 4884997 6112223 22170371 27740089 63504961 288214823 360621157 1308051889 3746792699 17004674557 221060769241