Search a number
-
+
22001057514 = 234236196799
BaseRepresentation
bin10100011111010111…
…010111111011101010
32002210021212112010000
4110133113113323222
5330024232320024
614035051003430
71406130621552
oct243727277352
962707775100
1022001057514
119370029167
124320139576
1320c8132437
1410c9d78162
1588b78bcc9
hex51f5d7eea

22001057514 has 80 divisors (see below), whose sum is σ = 52285939200. Its totient is φ = 6899761440.

The previous prime is 22001057513. The next prime is 22001057527. The reversal of 22001057514 is 41575010022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22001057513) 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 39 ways as a sum of consecutive naturals, for example, 178887 + ... + 275685.

It is an arithmetic number, because the mean of its divisors is an integer number (653574240).

Almost surely, 222001057514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001057514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142969600).

22001057514 is an abundant number, since it is smaller than the sum of its proper divisors (30284881686).

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

22001057514 is a wasteful number, since it uses less digits than its factorization.

22001057514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96897 (or 96888 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 22001057514 its reverse (41575010022), we get a palindrome (63576067536).

The spelling of 22001057514 in words is "twenty-two billion, one million, fifty-seven thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 61 69 81 122 138 162 183 207 366 414 549 621 1098 1242 1403 1647 1863 2806 3294 3726 4209 4941 8418 9882 12627 25254 37881 75762 96799 113643 193598 227286 290397 580794 871191 1742382 2226377 2613573 4452754 5227146 5904739 6679131 7840719 11809478 13358262 15681438 17714217 20037393 35428434 40074786 53142651 60112179 106285302 120224358 135808997 159427953 180336537 271617994 318855906 360673074 407426991 478283859 814853982 956567718 1222280973 2444561946 3666842919 7333685838 11000528757 22001057514