Search a number
-
+
22021030101224 = 23721120292516963
BaseRepresentation
bin1010000000111001010111…
…01011010100000011101000
32212222012010110011012002202
411000130223223110003220
510341243032201214344
6114500153243115332
74431652440314300
oct500345353240350
985865113135082
1022021030101224
117020080450170
1225779a6512b48
13c3976076bc8b
14561b75b38600
15282c3e25994e
hex14072bad40e8

22021030101224 has 96 divisors (see below), whose sum is σ = 52422822799200. Its totient is φ = 8575390212480.

The previous prime is 22021030101199. The next prime is 22021030101253. The reversal of 22021030101224 is 42210103012022.

It is a junction number, because it is equal to n+sod(n) for n = 22021030101196 and 22021030101205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7490567 + ... + 10007529.

It is an arithmetic number, because the mean of its divisors is an integer number (546071070825).

Almost surely, 222021030101224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021030101224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211411399600).

22021030101224 is an abundant number, since it is smaller than the sum of its proper divisors (30401792697976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22021030101224 is a wasteful number, since it uses less digits than its factorization.

22021030101224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519023 (or 2519012 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22021030101224 its reverse (42210103012022), we get a palindrome (64231133113246).

The spelling of 22021030101224 in words is "twenty-two trillion, twenty-one billion, thirty million, one hundred one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2029 2156 4058 4312 8116 14203 16232 22319 28406 44638 56812 89276 99421 113624 156233 178552 198842 312466 397684 624932 795368 1093631 1249864 2187262 2516963 4374524 5033926 8749048 10067852 17618741 20135704 27686593 35237482 55373186 70474964 110746372 123331187 140949928 193806151 221492744 246662374 387612302 493324748 775224604 986649496 1356643057 1550449208 2713286114 5106917927 5426572228 10213835854 10853144456 20427671708 35748425489 40855343416 56176097197 71496850978 112352194394 142993701956 224704388788 250238978423 285987403912 393232680379 449408777576 500477956846 786465360758 1000955913692 1572930721516 2001911827384 2752628762653 3145861443032 5505257525306 11010515050612 22021030101224