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102220000000 = 285719269
BaseRepresentation
bin101111100110011001…
…0010110101100000000
3100202211212222000201221
41133030302112230000
53133321310000000
6114543105204424
710246051443466
oct1371462265400
9322755860657
10102220000000
113a395585a48
1217989330714
139840724501
144d39c26836
1529d40a761a
hex17ccc96b00

102220000000 has 288 divisors, whose sum is σ = 269471966400. Its totient is φ = 38592000000.

The previous prime is 102219999997. The next prime is 102220000013. The reversal of 102220000000 is 22201.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 379999866 + ... + 380000134.

It is an arithmetic number, because the mean of its divisors is an integer number (935666550).

Almost surely, 2102220000000 is an apocalyptic number.

102220000000 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 102220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134735983200).

102220000000 is an abundant number, since it is smaller than the sum of its proper divisors (167251966400).

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

102220000000 is an frugal number, since it uses more digits than its factorization.

102220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 102220000000 its reverse (22201), we get a palindrome (102220022201).

The spelling of 102220000000 in words is "one hundred two billion, two hundred twenty million", and thus it is an aban number.