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4422422400 = 273521141879
BaseRepresentation
bin1000001111001100…
…01100111110000000
3102102012120100001020
410013212030332000
533024120004100
62010455505440
7214406653524
oct40746147600
912365510036
104422422400
11196a384450
12a35088280
135562b3bb6
142dd4b3d84
151ad3b75a0
hex10798cf80

4422422400 has 192 divisors, whose sum is σ = 15890947200. Its totient is φ = 1072076800.

The previous prime is 4422422383. The next prime is 4422422429. The reversal of 4422422400 is 42242244.

It is a tau number, because it is divible by the number of its divisors (192).

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, 84661 + ... + 126539.

It is an arithmetic number, because the mean of its divisors is an integer number (82765350).

Almost surely, 24422422400 is an apocalyptic number.

4422422400 is a gapful number since it is divisible by the number (40) 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 4422422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945473600).

4422422400 is an abundant number, since it is smaller than the sum of its proper divisors (11468524800).

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

4422422400 is a wasteful number, since it uses less digits than its factorization.

4422422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41917 (or 41900 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4422422400 is about 66501.2962279684. The cubic root of 4422422400 is about 1641.4213337542.

Adding to 4422422400 its reverse (42242244), we get a palindrome (4464664644).

The spelling of 4422422400 in words is "four billion, four hundred twenty-two million, four hundred twenty-two thousand, four hundred".