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22034022144 = 283193721103
BaseRepresentation
bin10100100001010101…
…000111111100000000
32002212120220022002020
4110201111013330000
5330111202202034
614042225321440
71410011045421
oct244125077400
962776808066
1022034022144
1193876a3a62
12432b196280
132101c04934
1410d04b9648
1588e5ee249
hex521547f00

22034022144 has 216 divisors, whose sum is σ = 63500048640. Its totient is φ = 6763917312.

The previous prime is 22034022119. The next prime is 22034022161. The reversal of 22034022144 is 44122043022.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19975897 + ... + 19976999.

Almost surely, 222034022144 is an apocalyptic number.

22034022144 is a gapful number since it is divisible by the number (24) 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 22034022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31750024320).

22034022144 is an abundant number, since it is smaller than the sum of its proper divisors (41466026496).

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

22034022144 is a wasteful number, since it uses less digits than its factorization.

22034022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22034022144 its reverse (44122043022), we get a palindrome (66156065166).

The spelling of 22034022144 in words is "twenty-two billion, thirty-four million, twenty-two thousand, one hundred forty-four".