Search a number
-
+
22000200202000 = 245347953324551
BaseRepresentation
bin1010000000010010100100…
…00111100011011100010000
32212220012100210000200010201
411000021102013203130100
510340422402222431000
6114442430310104544
74430314320145156
oct500112207433420
985805323020121
1022000200202000
117012261519619
12257395264b154
13c377c1173317
14560b5b5433d6
1528242070c96a
hex1402521e3710

22000200202000 has 160 divisors (see below), whose sum is σ = 54336236258304. Its totient is φ = 8611590080000.

The previous prime is 22000200201979. The next prime is 22000200202003. The reversal of 22000200202000 is 20200200022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22000200202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896089725 + ... + 896114275.

Almost surely, 222000200202000 is an apocalyptic number.

22000200202000 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 22000200202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27168118129152).

22000200202000 is an abundant number, since it is smaller than the sum of its proper divisors (32336036056304).

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

22000200202000 is a wasteful number, since it uses less digits than its factorization.

22000200202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34154 (or 34138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 22000200202000 its reverse (20200200022), we get a palindrome (22020400402022).

The spelling of 22000200202000 in words is "twenty-two trillion, two hundred million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 9533 11750 18800 19066 23500 24551 38132 47000 47665 49102 76264 94000 95330 98204 122755 152528 190660 196408 238325 245510 381320 392816 448051 476650 491020 613775 762640 896102 953300 982040 1153897 1191625 1227550 1792204 1906600 1964080 2240255 2307794 2383250 2455100 3068875 3584408 3813200 4480510 4615588 4766500 4910200 5769485 6137750 7168816 8961020 9231176 9533000 9820400 11201275 11538970 12275500 17922040 18462352 19066000 22402550 23077940 24551000 28847425 35844080 44805100 46155880 49102000 56006375 57694850 89610200 92311760 112012750 115389700 144237125 179220400 224025500 230779400 234044683 288474250 448051000 461558800 468089366 576948500 896102000 936178732 1153897000 1170223415 1872357464 2307794000 2340446830 3744714928 4680893660 5851117075 9361787320 11000100101 11702234150 18723574640 22000200202 23404468300 29255585375 44000400404 46808936600 55000500505 58511170750 88000800808 93617873200 110001001010 117022341500 176001601616 220002002020 234044683000 275002502525 440004004040 468089366000 550005005050 880008008080 1100010010100 1375012512625 2200020020200 2750025025250 4400040040400 5500050050500 11000100101000 22000200202000