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4113223000 = 23535417603
BaseRepresentation
bin1111010100101010…
…1100110101011000
3101121122202101012121
43311022230311120
531410441114000
61520052351024
7203633550535
oct36512546530
911548671177
104113223000
111820897357
12969615474
13507214a83
142b03c7d8c
1519118cb1a
hexf52acd58

4113223000 has 64 divisors (see below), whose sum is σ = 9644001120. Its totient is φ = 1642032000.

The previous prime is 4113222991. The next prime is 4113223027. The reversal of 4113223000 is 3223114.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 537199 + ... + 544801.

Almost surely, 24113223000 is an apocalyptic number.

4113223000 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 4113223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822000560).

4113223000 is an abundant number, since it is smaller than the sum of its proper divisors (5530778120).

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

4113223000 is a wasteful number, since it uses less digits than its factorization.

4113223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8165 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4113223000 is about 64134.4135390665. The cubic root of 4113223000 is about 1602.2394422242.

Adding to 4113223000 its reverse (3223114), we get a palindrome (4116446114).

The spelling of 4113223000 in words is "four billion, one hundred thirteen million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 541 1000 1082 2164 2705 4328 5410 7603 10820 13525 15206 21640 27050 30412 38015 54100 60824 67625 76030 108200 135250 152060 190075 270500 304120 380150 541000 760300 950375 1520600 1900750 3801500 4113223 7603000 8226446 16452892 20566115 32905784 41132230 82264460 102830575 164528920 205661150 411322300 514152875 822644600 1028305750 2056611500 4113223000