Search a number
-
+
22334012340200 = 23521143392339669
BaseRepresentation
bin1010001010000000010101…
…10111110011011111101000
32221002002222201110021202122
411011000022313303133220
510411410024124341300
6115300034214450412
74463402434412111
oct505001267633750
987062881407678
1022334012340200
11713088a7a0790
122608593663a08
13c6011c0912a2
14572d87101208
1528ae5b50cc85
hex14500adf37e8

22334012340200 has 96 divisors (see below), whose sum is σ = 56660256324000. Its totient is φ = 8119583827200.

The previous prime is 22334012340191. The next prime is 22334012340229. The reversal of 22334012340200 is 204321043322.

It is a self number, because there is not a number n which added to its sum of digits gives 22334012340200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8375966 + ... + 10715634.

It is an arithmetic number, because the mean of its divisors is an integer number (590211003375).

Almost surely, 222334012340200 is an apocalyptic number.

22334012340200 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 22334012340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28330128162000).

22334012340200 is an abundant number, since it is smaller than the sum of its proper divisors (34326243983800).

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

22334012340200 is a wasteful number, since it uses less digits than its factorization.

22334012340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344035 (or 2344026 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 22334012340200 its reverse (204321043322), we get a palindrome (22538333383522).

The spelling of 22334012340200 in words is "twenty-two trillion, three hundred thirty-four billion, twelve million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 4339 8678 17356 21695 34712 43390 47729 86780 95458 108475 173560 190916 216950 238645 381832 433900 477290 867800 954580 1193225 1909160 2339669 2386450 4679338 4772900 9358676 9545800 11698345 18717352 23396690 25736359 46793380 51472718 58491725 93586760 102945436 116983450 128681795 205890872 233966900 257363590 467933800 514727180 643408975 1029454360 1286817950 2573635900 5147271800 10151823791 20303647582 40607295164 50759118955 81214590328 101518237910 111670061701 203036475820 223340123402 253795594775 406072951640 446680246804 507591189550 558350308505 893360493608 1015182379100 1116700617010 2030364758200 2233401234020 2791751542525 4466802468040 5583503085050 11167006170100 22334012340200