Search a number
-
+
4422001221 = 331179229823
BaseRepresentation
bin1000001111001001…
…00110001001000101
3102102011202221022000
410013210212021011
533024013014341
62010442455513
7214403250561
oct40744461105
912364687260
104422001221
11196a116a70
12a34b04599
13556197291
142dd4046a1
151ad3328b6
hex107926245

4422001221 has 64 divisors (see below), whose sum is σ = 7277568000. Its totient is φ = 2631320640.

The previous prime is 4422001219. The next prime is 4422001237. The reversal of 4422001221 is 1221002244.

4422001221 is a `hidden beast` number, since 442 + 2 + 0 + 0 + 1 + 221 = 666.

It is not a de Polignac number, because 4422001221 - 21 = 4422001219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4422001194 and 4422001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5372616 + ... + 5373438.

It is an arithmetic number, because the mean of its divisors is an integer number (113712000).

Almost surely, 24422001221 is an apocalyptic number.

It is an amenable number.

4422001221 is a deficient number, since it is larger than the sum of its proper divisors (2855566779).

4422001221 is a wasteful number, since it uses less digits than its factorization.

4422001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4422001221 is about 66498.1294548952. The cubic root of 4422001221 is about 1641.3692239916.

Adding to 4422001221 its reverse (1221002244), we get a palindrome (5643003465).

The spelling of 4422001221 in words is "four billion, four hundred twenty-two million, one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 79 99 229 237 297 687 711 823 869 2061 2133 2469 2519 2607 6183 7407 7557 7821 9053 18091 22221 22671 23463 27159 54273 65017 68013 81477 162819 188467 195051 199001 244431 488457 565401 585153 597003 715187 1696203 1755459 1791009 2073137 2145561 5088609 5373027 6219411 6436683 14888893 18658233 19310049 44666679 55974699 134000037 163777823 402000111 491333469 1474000407 4422001221