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20223144000 = 2632531914783
BaseRepresentation
bin10010110101011001…
…001011000001000000
31221012101102011021100
4102311121023001000
5312404111102000
613142420054400
71314101613333
oct226531130100
957171364240
1020223144000
11863848a454
123b04834400
131ba39a63c7
14d9bbb061a
157d5647a00
hex4b564b040

20223144000 has 336 divisors, whose sum is σ = 76154158080. Its totient is φ = 5108659200.

The previous prime is 20223143977. The next prime is 20223144017. The reversal of 20223144000 is 44132202.

20223144000 is a `hidden beast` number, since 2 + 0 + 223 + 1 + 440 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1360609 + ... + 1375391.

It is an arithmetic number, because the mean of its divisors is an integer number (226649280).

Almost surely, 220223144000 is an apocalyptic number.

20223144000 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 20223144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38077079040).

20223144000 is an abundant number, since it is smaller than the sum of its proper divisors (55931014080).

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

20223144000 is a wasteful number, since it uses less digits than its factorization.

20223144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14835 (or 14812 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20223144000 its reverse (44132202), we get a palindrome (20267276202).

The spelling of 20223144000 in words is "twenty billion, two hundred twenty-three million, one hundred forty-four thousand".