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4414222032 = 2431141203909
BaseRepresentation
bin1000001110001101…
…11010111011010000
3102101122010201020220
410013012322323100
533020020101112
62010004033040
7214250160663
oct40706727320
912348121226
104414222032
111965793390
12a32392780
135546a24cc
142dc37b6da
151ac7e798c
hex1071baed0

4414222032 has 80 divisors (see below), whose sum is σ = 12743559360. Its totient is φ = 1305011200.

The previous prime is 4414222019. The next prime is 4414222039. The reversal of 4414222032 is 2302224144.

It is a super-2 number, since 2×44142220322 = 38970712295588418048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4414221993 and 4414222011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414222039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80307 + ... + 123602.

It is an arithmetic number, because the mean of its divisors is an integer number (159294492).

Almost surely, 24414222032 is an apocalyptic number.

It is an amenable number.

4414222032 is an abundant number, since it is smaller than the sum of its proper divisors (8329337328).

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

4414222032 is a wasteful number, since it uses less digits than its factorization.

4414222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203972 (or 203966 counting only the distinct ones).

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

The square root of 4414222032 is about 66439.6119193964. The cubic root of 4414222032 is about 1640.4061595655.

Adding to 4414222032 its reverse (2302224144), we get a palindrome (6716446176).

The spelling of 4414222032 in words is "four billion, four hundred fourteen million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 902 984 1353 1804 1968 2706 3608 5412 7216 10824 21648 203909 407818 611727 815636 1223454 1631272 2242999 2446908 3262544 4485998 4893816 6728997 8360269 8971996 9787632 13457994 16720538 17943992 25080807 26915988 33441076 35887984 50161614 53831976 66882152 91962959 100323228 107663952 133764304 183925918 200646456 275888877 367851836 401292912 551777754 735703672 1103555508 1471407344 2207111016 4414222032