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22343230320000 = 27354464320051
BaseRepresentation
bin1010001010010001100000…
…10011100110110110000000
32221002222210010201011211220
411011020300103212312000
510412032413430220000
6115304201024035040
74464150035063562
oct505106023466600
987088703634756
1022343230320000
117134790035407
12260a326762a80
13c60c5aa525c5
145735bd459332
1528b2ea8e61a0
hex1452304e6d80

22343230320000 has 320 divisors, whose sum is σ = 74182439770560. Its totient is φ = 5956614400000.

The previous prime is 22343230319881. The next prime is 22343230320017. The reversal of 22343230320000 is 2303234322.

It is a happy number.

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

It is a super-2 number, since 2×223432303200002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1114309975 + ... + 1114330025.

It is an arithmetic number, because the mean of its divisors is an integer number (231820124283).

Almost surely, 222343230320000 is an apocalyptic number.

22343230320000 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 22343230320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37091219885280).

22343230320000 is an abundant number, since it is smaller than the sum of its proper divisors (51839209450560).

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

22343230320000 is an equidigital number, since it uses as much as digits as its factorization.

22343230320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24731 (or 24704 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 22343230320000 its reverse (2303234322), we get a palindrome (22345533554322).

The spelling of 22343230320000 in words is "twenty-two trillion, three hundred forty-three billion, two hundred thirty million, three hundred twenty thousand".