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22201330200000 = 263557171392237
BaseRepresentation
bin1010000110001001001100…
…11001100110110111000000
32220121102111212121012110220
411003010212121212313000
510402221311012400000
6115115052244023040
74450664442005040
oct503044631466700
986542455535426
1022201330200000
11708a593123a66
1225a6924691a80
13c50765617263
1456a79b731720
15287792e911a0
hex143126666dc0

22201330200000 has 1344 divisors, whose sum is σ = 89525460003840. Its totient is φ = 4739604480000.

The previous prime is 22201330199989. The next prime is 22201330200011. The reversal of 22201330200000 is 203310222.

It is an interprime number because it is at equal distance from previous prime (22201330199989) and next prime (22201330200011).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 191 ways as a sum of consecutive naturals, for example, 9924598882 + ... + 9924601118.

It is an arithmetic number, because the mean of its divisors is an integer number (66611205360).

Almost surely, 222201330200000 is an apocalyptic number.

22201330200000 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 22201330200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44762730001920).

22201330200000 is an abundant number, since it is smaller than the sum of its proper divisors (67324129803840).

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

22201330200000 is a wasteful number, since it uses less digits than its factorization.

22201330200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22201330200000 its reverse (203310222), we get a palindrome (22201533510222).

The spelling of 22201330200000 in words is "twenty-two trillion, two hundred one billion, three hundred thirty million, two hundred thousand".