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22243341120 = 26357111379293
BaseRepresentation
bin10100101101110011…
…100111001101000000
32010102011202210201220
4110231303213031000
5331023243403440
614115103555040
71415132165010
oct245563471500
963364683656
1022243341120
119484871450
1243892bba80
1321363a2810
141110205c40
158a2b998d0
hex52dce7340

22243341120 has 896 divisors, whose sum is σ = 96349962240. Its totient is φ = 4198072320.

The previous prime is 22243341103. The next prime is 22243341167. The reversal of 22243341120 is 2114334222.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 75915694 + ... + 75915986.

It is an arithmetic number, because the mean of its divisors is an integer number (107533440).

Almost surely, 222243341120 is an apocalyptic number.

22243341120 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 22243341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48174981120).

22243341120 is an abundant number, since it is smaller than the sum of its proper divisors (74106621120).

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

22243341120 is a wasteful number, since it uses less digits than its factorization.

22243341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22243341120 its reverse (2114334222), we get a palindrome (24357675342).

It can be divided in two parts, 22243 and 341120, that added together give a palindrome (363363).

The spelling of 22243341120 in words is "twenty-two billion, two hundred forty-three million, three hundred forty-one thousand, one hundred twenty".