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22210012210020 = 22356122132742119
BaseRepresentation
bin1010000110011001010111…
…11000110110001101100100
32220122020220221100000020120
411003030223320312031210
510402342101111210040
6115123045545401540
74451422543611435
oct503145370661544
986566827300216
1022210012210020
117093238973658
1225a85481992b0
13c5151a23b1ab
1456ad8280d48c
15287b002a87d0
hex14332be36364

22210012210020 has 96 divisors (see below), whose sum is σ = 63236095130880. Its totient is φ = 5822942415360.

The previous prime is 22210012209991. The next prime is 22210012210073. The reversal of 22210012210020 is 2001221001222.

It is a super-3 number, since 3×222100122100203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6728521 + ... + 9470639.

It is an arithmetic number, because the mean of its divisors is an integer number (658709324280).

Almost surely, 222210012210020 is an apocalyptic number.

22210012210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22210012210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31618047565440).

22210012210020 is an abundant number, since it is smaller than the sum of its proper divisors (41026082920860).

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

22210012210020 is a wasteful number, since it uses less digits than its factorization.

22210012210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744405 (or 2744403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22210012210020 its reverse (2001221001222), we get a palindrome (24211233211242).

The spelling of 22210012210020 in words is "twenty-two trillion, two hundred ten billion, twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 2213 3660 4426 6639 8852 11065 13278 22130 26556 33195 44260 66390 132780 134993 269986 404979 539972 674965 809958 1349930 1619916 2024895 2699860 2742119 4049790 5484238 8099580 8226357 10968476 13710595 16452714 27421190 32905428 41131785 54842380 82263570 164527140 167269259 334538518 501807777 669077036 836346295 1003615554 1672692590 2007231108 2509038885 3345385180 5018077770 6068309347 10036155540 12136618694 18204928041 24273237388 30341546735 36409856082 60683093470 72819712164 91024640205 121366186940 182049280410 364098560820 370166870167 740333740334 1110500610501 1480667480668 1850834350835 2221001221002 3701668701670 4442002442004 5552503052505 7403337403340 11105006105010 22210012210020