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22203002041000 = 23531110987183713
BaseRepresentation
bin1010000110001100010100…
…00011001011001010101000
32220121120211101110112011221
411003012022003023022220
510402233222010303000
6115115530205231424
74451054042300044
oct503061203131250
986546741415157
1022203002041000
117090270903940
1225a7110562574
13c50970ab47a1
1456a8b97a7024
1528783eb3161a
hex14318a0cb2a8

22203002041000 has 128 divisors (see below), whose sum is σ = 56683676050560. Its totient is φ = 8073040128000.

The previous prime is 22203002040997. The next prime is 22203002041001. The reversal of 22203002041000 is 14020030222.

It is not an unprimeable number, because it can be changed into a prime (22203002041001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 120765144 + ... + 120948856.

It is an arithmetic number, because the mean of its divisors is an integer number (442841219145).

Almost surely, 222203002041000 is an apocalyptic number.

22203002041000 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 22203002041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28341838025280).

22203002041000 is an abundant number, since it is smaller than the sum of its proper divisors (34480674009560).

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

22203002041000 is a wasteful number, since it uses less digits than its factorization.

22203002041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194732 (or 194718 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22203002041000 its reverse (14020030222), we get a palindrome (22217022071222).

The spelling of 22203002041000 in words is "twenty-two trillion, two hundred three billion, two million, forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 10987 11000 21974 43948 54935 87896 109870 120857 183713 219740 241714 274675 367426 439480 483428 549350 604285 734852 918565 966856 1098700 1208570 1373375 1469704 1837130 2020843 2197400 2417140 2746750 3021425 3674260 4041686 4592825 4834280 5493500 6042850 7348520 8083372 9185650 10104215 10987000 12085700 15107125 16166744 18371300 20208430 22964125 24171400 30214250 36742600 40416860 45928250 50521075 60428500 80833720 91856500 101042150 120857000 183713000 202084300 252605375 404168600 505210750 1010421500 2018454731 2020843000 4036909462 8073818924 10092273655 16147637848 20184547310 22203002041 40369094620 44406004082 50461368275 80738189240 88812008164 100922736550 111015010205 177624016328 201845473100 222030020410 252306841375 403690946200 444060040820 504613682750 555075051025 888120081640 1009227365500 1110150102050 2018454731000 2220300204100 2775375255125 4440600408200 5550750510250 11101501020500 22203002041000