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20344000200 = 23352611134919
BaseRepresentation
bin10010111100100110…
…001100111011001000
31221111210211021210220
4102330212030323020
5313131031001300
613202414310040
71320100101636
oct227446147310
957453737726
1020344000200
11869a726507
123b391b8320
131bc2a3cc54
14dadc70356
157e106bda0
hex4bc98cec8

20344000200 has 192 divisors, whose sum is σ = 64680681600. Its totient is φ = 5287833600.

The previous prime is 20344000199. The next prime is 20344000211. The reversal of 20344000200 is 200044302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20344000200.

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 47 ways as a sum of consecutive naturals, for example, 4133341 + ... + 4138259.

It is an arithmetic number, because the mean of its divisors is an integer number (336878550).

Almost surely, 220344000200 is an apocalyptic number.

20344000200 is a gapful number since it is divisible by the number (20) 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 20344000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32340340800).

20344000200 is an abundant number, since it is smaller than the sum of its proper divisors (44336681400).

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

20344000200 is a wasteful number, since it uses less digits than its factorization.

20344000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 20344000200 its reverse (200044302), we get a palindrome (20544044502).

The spelling of 20344000200 in words is "twenty billion, three hundred forty-four million, two hundred", and thus it is an aban number.