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2200122331320 = 233583399219839
BaseRepresentation
bin100000000001000001100…
…000101001000010111000
321210022220022022121111010
4200001001200221002320
5242021322304100240
64402420001033520
7314645040153114
oct40010140510270
97708808277433
102200122331320
11779080776351
122b64946258a0
1312c617015634
14786b4cd6744
153c36c068280
hex200418290b8

2200122331320 has 64 divisors (see below), whose sum is σ = 6600476160000. Its totient is φ = 586689584768.

The previous prime is 2200122331301. The next prime is 2200122331327. The reversal of 2200122331320 is 231332210022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200122331327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9897961 + ... + 10117799.

It is an arithmetic number, because the mean of its divisors is an integer number (103132440000).

Almost surely, 22200122331320 is an apocalyptic number.

2200122331320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200122331320 is an abundant number, since it is smaller than the sum of its proper divisors (4400353828680).

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

2200122331320 is a wasteful number, since it uses less digits than its factorization.

2200122331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303252 (or 303248 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2200122331320 its reverse (231332210022), we get a palindrome (2431454541342).

The spelling of 2200122331320 in words is "two trillion, two hundred billion, one hundred twenty-two million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 83399 166798 219839 250197 333596 416995 439678 500394 659517 667192 833990 879356 1000788 1099195 1250985 1319034 1667980 1758712 2001576 2198390 2501970 2638068 3297585 3335960 4396780 5003940 5276136 6595170 8793560 10007880 13190340 26380680 18334352761 36668705522 55003058283 73337411044 91671763805 110006116566 146674822088 183343527610 220012233132 275015291415 366687055220 440024466264 550030582830 733374110440 1100061165660 2200122331320