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4414203220 = 2257229315373
BaseRepresentation
bin1000001110001101…
…10110010101010100
3102101122002202110011
410013012312111110
533020014000340
62010003410004
7214250052100
oct40706662524
912348082404
104414203220
111965780239
12a32383904
13554696a8b
142dc374900
151ac7e20ea
hex1071b6554

4414203220 has 72 divisors (see below), whose sum is σ = 10820774664. Its totient is φ = 1508177664.

The previous prime is 4414203197. The next prime is 4414203229. The reversal of 4414203220 is 223024144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 308213136 + 4105990084 = 17556^2 + 64078^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4414203191 and 4414203200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414203229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279454 + ... + 294826.

It is an arithmetic number, because the mean of its divisors is an integer number (150288537).

Almost surely, 24414203220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410387332).

4414203220 is an abundant number, since it is smaller than the sum of its proper divisors (6406571444).

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

4414203220 is a wasteful number, since it uses less digits than its factorization.

4414203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15689 (or 15680 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4414203220 is about 66439.4703470761. The cubic root of 4414203220 is about 1640.4038292671.

Adding to 4414203220 its reverse (223024144), we get a palindrome (4637227364).

The spelling of 4414203220 in words is "four billion, four hundred fourteen million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 293 490 586 980 1172 1465 2051 2930 4102 5860 8204 10255 14357 15373 20510 28714 30746 41020 57428 61492 71785 76865 107611 143570 153730 215222 287140 307460 430444 538055 753277 1076110 1506554 2152220 3013108 3766385 4504289 7532770 9008578 15065540 18017156 22521445 31530023 45042890 63060046 90085780 126120092 157650115 220710161 315300230 441420322 630600460 882840644 1103550805 2207101610 4414203220