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20023023032200 = 23525322917214793
BaseRepresentation
bin1001000110101111110010…
…01011001101011110001000
32121220011220220100201111001
410203113321023031132020
510111024122344012300
6110330241053344344
74134421114406506
oct443277113153610
977804826321431
1020023023032200
11641a797558981
1222b4719a980b4
13b23217078506
144d3195c23676
1524aca11e516a
hex1235f92cd788

20023023032200 has 192 divisors, whose sum is σ = 47676649280400. Its totient is φ = 7817599795200.

The previous prime is 20023023032183. The next prime is 20023023032209. The reversal of 20023023032200 is 223032032002.

It can be written as a sum of positive squares in 24 ways, for example, as 5663819294884 + 14359203737316 = 2379878^2 + 3789354^2 .

It is a super-3 number, since 3×200230230322003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20023023032209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4177553004 + ... + 4177557796.

Almost surely, 220023023032200 is an apocalyptic number.

20023023032200 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 20023023032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23838324640200).

20023023032200 is an abundant number, since it is smaller than the sum of its proper divisors (27653626248200).

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

20023023032200 is a wasteful number, since it uses less digits than its factorization.

20023023032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 20023023032200 its reverse (223032032002), we get a palindrome (20246055064202).

The spelling of 20023023032200 in words is "twenty trillion, twenty-three billion, twenty-three million, thirty-two thousand, two hundred".