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22323120000 = 27354471979
BaseRepresentation
bin10100110010100011…
…111100011110000000
32010121201212222210020
4110302203330132000
5331204204320000
614131033533440
71420121250336
oct246243743600
963551788706
1022323120000
119515901505
1243abb74280
132149a8635c
14111aa51b56
158a9ba7ba0
hex5328fc780

22323120000 has 320 divisors, whose sum is σ = 75710764800. Its totient is φ = 5823232000.

The previous prime is 22323119993. The next prime is 22323120013. The reversal of 22323120000 is 2132322.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×223231200003 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11279011 + ... + 11280989.

It is an arithmetic number, because the mean of its divisors is an integer number (236596140).

Almost surely, 222323120000 is an apocalyptic number.

22323120000 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 22323120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37855382400).

22323120000 is an abundant number, since it is smaller than the sum of its proper divisors (53387644800).

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

22323120000 is an equidigital number, since it uses as much as digits as its factorization.

22323120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22323120000 its reverse (2132322), we get a palindrome (22325252322).

The spelling of 22323120000 in words is "twenty-two billion, three hundred twenty-three million, one hundred twenty thousand".