Search a number
-
+
6223104000 = 21132533773
BaseRepresentation
bin1011100101110110…
…10000100000000000
3121001200212102211100
411302323100200000
5100221103312000
62505302414400
7310133340231
oct56273204000
917050772740
106223104000
112703864163
121258131400
13782382279
144306c7088
15266507a00
hex172ed0800

6223104000 has 576 divisors, whose sum is σ = 23352703920. Its totient is φ = 1592524800.

The previous prime is 6223103989. The next prime is 6223104011. The reversal of 6223104000 is 4013226.

It is a happy number.

6223104000 is a `hidden beast` number, since 622 + 3 + 1 + 0 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6223103989) and next prime (6223104011).

It can be written as a sum of positive squares in 8 ways, for example, as 1135420416 + 5087683584 = 33696^2 + 71328^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85247964 + ... + 85248036.

Almost surely, 26223104000 is an apocalyptic number.

6223104000 is a gapful number since it is divisible by the number (60) 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 6223104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676351960).

6223104000 is an abundant number, since it is smaller than the sum of its proper divisors (17129599920).

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

6223104000 is a wasteful number, since it uses less digits than its factorization.

6223104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6223104000 is about 78886.6528634597. The cubic root of 6223104000 is about 1839.3696643655.

Adding to 6223104000 its reverse (4013226), we get a palindrome (6227117226).

The spelling of 6223104000 in words is "six billion, two hundred twenty-three million, one hundred four thousand".