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221222030100000 = 2535510359312073
BaseRepresentation
bin110010010011001101000100…
…100001010100011000100000
31002000021121201122022201010020
4302103031010201110120200
5212444000204201200000
62102255555253433440
764411523063654316
oct6223150441243040
91060247648281106
10221222030100000
1164540810821696
122098a38a33b880
1396591bccbac37
143c8b2bc1440b6
151a8975cbd7ba0
hexc93344854620

221222030100000 has 576 divisors, whose sum is σ = 734182004844288. Its totient is φ = 58316451840000.

The previous prime is 221222030099953. The next prime is 221222030100007. The reversal of 221222030100000 is 1030222122.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (221222030100007) by changing a digit.

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, 18323693964 + ... + 18323706036.

It is an arithmetic number, because the mean of its divisors is an integer number (1274621536188).

Almost surely, 2221222030100000 is an apocalyptic number.

221222030100000 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 221222030100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367091002422144).

221222030100000 is an abundant number, since it is smaller than the sum of its proper divisors (512959974744288).

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

221222030100000 is a wasteful number, since it uses less digits than its factorization.

221222030100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12807 (or 12779 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 221222030100000 its reverse (1030222122), we get a palindrome (221223060322122).

The spelling of 221222030100000 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, thirty million, one hundred thousand".