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22135006410 = 23511671496719
BaseRepresentation
bin10100100111010110…
…010110010011001010
32010010121220211110020
4110213112112103022
5330313030201120
614100234001310
71412345310246
oct244726262312
963117824406
1022135006410
1194296a7a30
124358b76236
132119b0143a
1410dda85426
158983ea640
hex5275964ca

22135006410 has 128 divisors (see below), whose sum is σ = 59222016000. Its totient is φ = 5249713920.

The previous prime is 22135006381. The next prime is 22135006427. The reversal of 22135006410 is 1460053122.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3291031 + ... + 3297749.

It is an arithmetic number, because the mean of its divisors is an integer number (462672000).

Almost surely, 222135006410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22135006410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29611008000).

22135006410 is an abundant number, since it is smaller than the sum of its proper divisors (37087009590).

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

22135006410 is a wasteful number, since it uses less digits than its factorization.

22135006410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 22135006410 its reverse (1460053122), we get a palindrome (23595059532).

The spelling of 22135006410 in words is "twenty-two billion, one hundred thirty-five million, six thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 149 165 201 298 330 335 402 447 670 737 745 894 1005 1474 1490 1639 2010 2211 2235 3278 3685 4422 4470 4917 6719 7370 8195 9834 9983 11055 13438 16390 19966 20157 22110 24585 29949 33595 40314 49170 49915 59898 67190 73909 99830 100785 109813 147818 149745 201570 219626 221727 299490 329439 369545 443454 450173 549065 658878 739090 900346 1001131 1098130 1108635 1350519 1647195 2002262 2217270 2250865 2701038 3003393 3294390 4501730 4951903 5005655 6006786 6752595 9903806 10011310 11012441 13505190 14855709 15016965 22024882 24759515 29711418 30033930 33037323 49519030 55062205 66074646 67075777 74278545 110124410 134151554 148557090 165186615 201227331 330373230 335378885 402454662 670757770 737833547 1006136655 1475667094 2012273310 2213500641 3689167735 4427001282 7378335470 11067503205 22135006410