Search a number
-
+
22021222131200 = 295215111138589
BaseRepresentation
bin1010000000111001101110…
…00111110110011000000000
32212222012121211111022201002
411000130313013312120000
510341243430331144300
6114500224303031132
74431660261455405
oct500346707663000
985865554438632
1022021222131200
11702016988a126
122577a3a89b4a8
13c39791495696
14561b934442ac
15282c5103c5d5
hex1407371f6600

22021222131200 has 120 divisors (see below), whose sum is σ = 54595454261040. Its totient is φ = 8802651545600.

The previous prime is 22021222131163. The next prime is 22021222131211. The reversal of 22021222131200 is 213122212022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18771506 + ... + 19910094.

It is an arithmetic number, because the mean of its divisors is an integer number (454962118842).

Almost surely, 222021222131200 is an apocalyptic number.

22021222131200 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 22021222131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27297727130520).

22021222131200 is an abundant number, since it is smaller than the sum of its proper divisors (32574232129840).

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

22021222131200 is a wasteful number, since it uses less digits than its factorization.

22021222131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140128 (or 1140107 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22021222131200 its reverse (213122212022), we get a palindrome (22234344343222).

The spelling of 22021222131200 in words is "twenty-two trillion, twenty-one billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1511 1600 2560 3022 3200 6044 6400 7555 12088 12800 15110 24176 30220 37775 48352 60440 75550 96704 120880 151100 193408 241760 302200 386816 483520 604400 773632 967040 1138589 1208800 1934080 2277178 2417600 3868160 4554356 4835200 5692945 9108712 9670400 11385890 18217424 19340800 22771780 28464725 36434848 45543560 56929450 72869696 91087120 113858900 145739392 182174240 227717800 291478784 364348480 455435600 582957568 728696960 910871200 1457393920 1720407979 1821742400 2914787840 3440815958 3643484800 6881631916 7286969600 8602039895 13763263832 14573939200 17204079790 27526527664 34408159580 43010199475 55053055328 68816319160 86020398950 110106110656 137632638320 172040797900 220212221312 275265276640 344081595800 440424442624 550530553280 688163191600 880848885248 1101061106560 1376326383200 2202122213120 2752652766400 4404244426240 5505305532800 11010611065600 22021222131200