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20023022400 = 2635241711433
BaseRepresentation
bin10010101001011101…
…110001001101000000
31220200102211221001020
4102221131301031000
5312001343204100
613110510505440
71306121611413
oct225135611500
956612757036
1020023022400
1185455240a7
123a69805280
131b713a8964
14d7d399b7a
157c2cb75a0
hex4a9771340

20023022400 has 336 divisors, whose sum is σ = 68289879168. Its totient is φ = 5132288000.

The previous prime is 20023022389. The next prime is 20023022407. The reversal of 20023022400 is 422032002.

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 20023022400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20023022407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13972084 + ... + 13973516.

It is an arithmetic number, because the mean of its divisors is an integer number (203243688).

Almost surely, 220023022400 is an apocalyptic number.

20023022400 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 20023022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34144939584).

20023022400 is an abundant number, since it is smaller than the sum of its proper divisors (48266856768).

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

20023022400 is a wasteful number, since it uses less digits than its factorization.

20023022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1555 counting only the distinct ones).

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

Adding to 20023022400 its reverse (422032002), we get a palindrome (20445054402).

The spelling of 20023022400 in words is "twenty billion, twenty-three million, twenty-two thousand, four hundred".