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4230813600 = 2533521321961
BaseRepresentation
bin1111110000101101…
…0001011110100000
3101220212000121012000
43330023101132200
532131042013400
61535453004000
7206562215346
oct37413213640
911825017160
104230813600
111881202972
129a0a83600
135256a7100
142c1c77996
1519b669600
hexfc2d17a0

4230813600 has 864 divisors, whose sum is σ = 17726990400. Its totient is φ = 970444800.

The previous prime is 4230813593. The next prime is 4230813679. The reversal of 4230813600 is 63180324.

It is a happy number.

4230813600 is a `hidden beast` number, since 42 + 3 + 0 + 8 + 13 + 600 = 666.

4230813600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69357570 + ... + 69357630.

It is an arithmetic number, because the mean of its divisors is an integer number (20517350).

Almost surely, 24230813600 is an apocalyptic number.

4230813600 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 4230813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8863495200).

4230813600 is an abundant number, since it is smaller than the sum of its proper divisors (13496176800).

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

4230813600 is a wasteful number, since it uses less digits than its factorization.

4230813600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4230813600 is about 65044.7046268949. The cubic root of 4230813600 is about 1617.3647140812.

Adding to 4230813600 its reverse (63180324), we get a palindrome (4293993924).

The spelling of 4230813600 in words is "four billion, two hundred thirty million, eight hundred thirteen thousand, six hundred".