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20023144400 = 2452726311619
BaseRepresentation
bin10010101001011110…
…001110111111010000
31220200110002010101202
4102221132032333100
5312001411110100
613110513250332
71306122630200
oct225136167720
956613063352
1020023144400
1185455a7826
123a698639a8
131b7141c34c
14d7d3cc400
157c2cdd7d5
hex4a978efd0

20023144400 has 180 divisors, whose sum is σ = 56082883680. Its totient is φ = 6849964800.

The previous prime is 20023144399. The next prime is 20023144417. The reversal of 20023144400 is 444132002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12366791 + ... + 12368409.

It is an arithmetic number, because the mean of its divisors is an integer number (311571576).

Almost surely, 220023144400 is an apocalyptic number.

20023144400 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 20023144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28041441840).

20023144400 is an abundant number, since it is smaller than the sum of its proper divisors (36059739280).

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

20023144400 is a wasteful number, since it uses less digits than its factorization.

20023144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20023144400 its reverse (444132002), we get a palindrome (20467276402).

The spelling of 20023144400 in words is "twenty billion, twenty-three million, one hundred forty-four thousand, four hundred".