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2224102014222 = 23113712101547
BaseRepresentation
bin100000010111010110110…
…011110111110100001110
321212121210111022201100220
4200113112303313310032
5242414430103423342
64421423252532210
7316454215124064
oct40272663676416
97777714281326
102224102014222
11788266672000
122bb067321066
1313196904a10a
147990b964034
153ccc23945ec
hex205d6cf7d0e

2224102014222 has 192 divisors, whose sum is σ = 5020868484864. Its totient is φ = 656696040000.

The previous prime is 2224102014221. The next prime is 2224102014229.

2224102014222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2224102014192 and 2224102014201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224102014221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4065999753 + ... + 4066000299.

It is an arithmetic number, because the mean of its divisors is an integer number (26150356692).

Almost surely, 22224102014222 is an apocalyptic number.

2224102014222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224102014222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510434242432).

2224102014222 is an abundant number, since it is smaller than the sum of its proper divisors (2796766470642).

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

2224102014222 is a wasteful number, since it uses less digits than its factorization.

2224102014222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 2224102014222 in words is "two trillion, two hundred twenty-four billion, one hundred two million, fourteen thousand, two hundred twenty-two".