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2221320230000 = 24544315134211
BaseRepresentation
bin100000010100110001000…
…000001101010001110000
321212100121121220102210122
4200110301000031101300
5242343230434330000
64420243241345412
7316325246264024
oct40246100152160
97770547812718
102221320230000
117870693a6383
122ba60b798268
1313161492a151
1479726322384
153cbad057085
hex2053100d470

2221320230000 has 200 divisors, whose sum is σ = 5539715423616. Its totient is φ = 862092000000.

The previous prime is 2221320229939. The next prime is 2221320230023. The reversal of 2221320230000 is 320231222.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64912895 + ... + 64947105.

Almost surely, 22221320230000 is an apocalyptic number.

2221320230000 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 2221320230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769857711808).

2221320230000 is an abundant number, since it is smaller than the sum of its proper divisors (3318395193616).

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

2221320230000 is a wasteful number, since it uses less digits than its factorization.

2221320230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34433 (or 34412 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2221320230000 its reverse (320231222), we get a palindrome (2221640461222).

The spelling of 2221320230000 in words is "two trillion, two hundred twenty-one billion, three hundred twenty million, two hundred thirty thousand".