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22000011000066 = 232115917314477523
BaseRepresentation
bin1010000000010010001101…
…10101110011100100000010
32212220011212121000012212200
411000021012311303210002
510340422010304000231
6114442355430534030
74430306532023061
oct500110665634402
985804777005780
1022000011000066
117012174741390
1225738bb207316
13c37790bc9c08
14560b403721d8
1528240dcd7be6
hex140246d73902

22000011000066 has 192 divisors, whose sum is σ = 53230886691840. Its totient is φ = 6510424590720.

The previous prime is 22000011000059. The next prime is 22000011000073. The reversal of 22000011000066 is 66000011000022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22000011000059) and next prime (22000011000073).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2924362981 + ... + 2924370503.

It is an arithmetic number, because the mean of its divisors is an integer number (277244201520).

Almost surely, 222000011000066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000011000066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26615443345920).

22000011000066 is an abundant number, since it is smaller than the sum of its proper divisors (31230875691774).

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

22000011000066 is a wasteful number, since it uses less digits than its factorization.

22000011000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221 (or 9218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22000011000066 its reverse (66000011000022), we get a palindrome (88000022000088).

The spelling of 22000011000066 in words is "twenty-two trillion, eleven million, sixty-six", and thus it is an aban number and an uban number.