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332221221230000 = 2454677134920011
BaseRepresentation
bin100101110001001110100011…
…1111000001101010110110000
31121120022001001010021001200012
41023202131013320031112300
5322021103030113330000
63134324153323114052
7126656122365124514
oct11342350770152660
91546261033231605
10332221221230000
1196946257438773
1231316846972928
131134b432aba90b
145c07842cd4144
152861c82b36735
hex12e2747e0d5b0

332221221230000 has 400 divisors, whose sum is σ = 830257247635200. Its totient is φ = 128685110400000.

The previous prime is 332221221229987. The next prime is 332221221230023. The reversal of 332221221230000 is 32122122233.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×3322212212300002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16601919995 + ... + 16601940005.

It is an arithmetic number, because the mean of its divisors is an integer number (2075643119088).

Almost surely, 2332221221230000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332221221230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415128623817600).

332221221230000 is an abundant number, since it is smaller than the sum of its proper divisors (498036026405200).

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

332221221230000 is a wasteful number, since it uses less digits than its factorization.

332221221230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20526 (or 20505 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 332221221230000 its reverse (32122122233), we get a palindrome (332253343352233).

The spelling of 332221221230000 in words is "three hundred thirty-two trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred thirty thousand".