Search a number
-
+
4422122229 = 371723747419
BaseRepresentation
bin1000001111001010…
…00011101011110101
3102102012000002021210
410013211003223311
533024030402404
62010445232033
7214404263430
oct40745035365
912365002253
104422122229
11196a199978
12a34b62619
1355620a395
142dd436817
151ad358689
hex107943af5

4422122229 has 96 divisors (see below), whose sum is σ = 7525969920. Its totient is φ = 2259366912.

The previous prime is 4422122219. The next prime is 4422122251. The reversal of 4422122229 is 9222212244.

It is not a de Polignac number, because 4422122229 - 211 = 4422120181 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4422122196 and 4422122205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422122219) 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 95 ways as a sum of consecutive naturals, for example, 10553782 + ... + 10554200.

It is an arithmetic number, because the mean of its divisors is an integer number (78395520).

Almost surely, 24422122229 is an apocalyptic number.

It is an amenable number.

4422122229 is a deficient number, since it is larger than the sum of its proper divisors (3103847691).

4422122229 is a wasteful number, since it uses less digits than its factorization.

4422122229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 530 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4422122229 is about 66499.0393088502. The cubic root of 4422122229 is about 1641.3841958701.

The spelling of 4422122229 in words is "four billion, four hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty-nine".

Divisors: 1 3 7 17 21 37 47 51 111 119 141 259 289 329 357 419 629 777 799 867 987 1257 1739 1887 2023 2397 2933 4403 5217 5593 6069 7123 8799 10693 12173 13209 13583 15503 16779 19693 21369 29563 32079 36519 40749 46509 49861 59079 74851 88689 95081 108521 121091 137851 149583 206941 224553 263551 285243 325563 334781 363273 413553 502571 620823 728641 790653 847637 1004343 1507713 1844857 2185923 2343467 2542911 3517997 4480367 5100487 5534571 5691277 7030401 10553991 12386897 13441101 15301461 17073831 31362569 37160691 39838939 86708279 94087707 119516817 210577249 260124837 631731747 1474040743 4422122229