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22232400000000 = 21035897191
BaseRepresentation
bin1010000111000011000100…
…10011011111010000000000
32220201101201011220120120020
411003201202103133100000
510403223423400000000
6115141231253413440
74453144411646241
oct503414223372000
986641634816506
1022232400000000
1170a1787225623
1225b095593a280
13c53677517cb8
1456c0a7c96cc8
152884b0987ba0
hex1438624df400

22232400000000 has 792 divisors, whose sum is σ = 75227211483648. Its totient is φ = 5836800000000.

The previous prime is 22232399999921. The next prime is 22232400000001. The reversal of 22232400000000 is 423222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22232400000001) 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 71 ways as a sum of consecutive naturals, for example, 116399999905 + ... + 116400000095.

Almost surely, 222232400000000 is an apocalyptic number.

22232400000000 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 22232400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37613605741824).

22232400000000 is an abundant number, since it is smaller than the sum of its proper divisors (52994811483648).

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

22232400000000 is an frugal number, since it uses more digits than its factorization.

22232400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 22232400000000 its reverse (423222), we get a palindrome (22232400423222).

The spelling of 22232400000000 in words is "twenty-two trillion, two hundred thirty-two billion, four hundred million", and thus it is an aban number.