Search a number
-
+
20220203400 = 23352127443599
BaseRepresentation
bin10010110101001101…
…111101000110001000
31221012011212202112020
4102311031331012020
5312402333002100
613142233044440
71314034615215
oct226515750610
957164782466
1020220203400
118636861101
123b03856720
131ba31b6ac7
14d9b646b0c
157d52665a0
hex4b537d188

20220203400 has 192 divisors, whose sum is σ = 63424512000. Its totient is φ = 5328610560.

The previous prime is 20220203383. The next prime is 20220203401. The reversal of 20220203400 is 430202202.

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 20220203400.

It is not an unprimeable number, because it can be changed into a prime (20220203401) by changing a digit.

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, 33756301 + ... + 33756899.

It is an arithmetic number, because the mean of its divisors is an integer number (330336000).

Almost surely, 220220203400 is an apocalyptic number.

20220203400 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 20220203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31712256000).

20220203400 is an abundant number, since it is smaller than the sum of its proper divisors (43204308600).

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

20220203400 is a wasteful number, since it uses less digits than its factorization.

20220203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1179 counting only the distinct ones).

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

Adding to 20220203400 its reverse (430202202), we get a palindrome (20650405602).

The spelling of 20220203400 in words is "twenty billion, two hundred twenty million, two hundred three thousand, four hundred".