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6220144000 = 27537193779
BaseRepresentation
bin1011100101011111…
…11101110110000000
3121001111022001110201
411302233331312000
5100214324102000
62505115134544
7310066231420
oct56257756600
917044261421
106220144000
112702122284
121257144454
13781886ba5
14430156480
1526612096a
hex172bfdd80

6220144000 has 512 divisors, whose sum is σ = 19348992000. Its totient is φ = 1940889600.

The previous prime is 6220143961. The next prime is 6220144003. The reversal of 6220144000 is 4410226.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6220144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78735961 + ... + 78736039.

It is an arithmetic number, because the mean of its divisors is an integer number (37791000).

Almost surely, 26220144000 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 6220144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9674496000).

6220144000 is an abundant number, since it is smaller than the sum of its proper divisors (13128848000).

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

6220144000 is a wasteful number, since it uses less digits than its factorization.

6220144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 6220144000 is about 78867.8895368705. The cubic root of 6220144000 is about 1839.0779879684.

Adding to 6220144000 its reverse (4410226), we get a palindrome (6224554226).

The spelling of 6220144000 in words is "six billion, two hundred twenty million, one hundred forty-four thousand".