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17220420000 = 253254779173
BaseRepresentation
bin10000000010011010…
…101100000110100000
31122110010020222022100
4100002122230012200
5240231411420000
611524433210400
71146511104060
oct200232540640
948403228270
1017220420000
117337529473
123407100a00
13181587a044
14b950993a0
156abc16a00
hex4026ac1a0

17220420000 has 720 divisors, whose sum is σ = 71230199040. Its totient is φ = 3863808000.

The previous prime is 17220419971. The next prime is 17220420053. The reversal of 17220420000 is 2402271.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 99539914 + ... + 99540086.

It is an arithmetic number, because the mean of its divisors is an integer number (98930832).

Almost surely, 217220420000 is an apocalyptic number.

17220420000 is a gapful number since it is divisible by the number (10) 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 17220420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35615099520).

17220420000 is an abundant number, since it is smaller than the sum of its proper divisors (54009779040).

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

17220420000 is a wasteful number, since it uses less digits than its factorization.

17220420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 17220420000 its reverse (2402271), we get a palindrome (17222822271).

The spelling of 17220420000 in words is "seventeen billion, two hundred twenty million, four hundred twenty thousand".