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20222100210200 = 23527409297111887
BaseRepresentation
bin1001001100100010100110…
…00110011000001000011000
32122121012202221012012011212
410212101103012120020120
510122304330123211300
6111001523220242252
74154666331453410
oct446212306301030
978535687165155
1020222100210200
11649716541a269
122327218540388
13b38c22140265
144dca7d527640
15251053630935
hex126453198218

20222100210200 has 192 divisors, whose sum is σ = 53887048627200. Its totient is φ = 6913430092800.

The previous prime is 20222100210131. The next prime is 20222100210239. The reversal of 20222100210200 is 201200122202.

It is a super-2 number, since 2×202221002102002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1701188657 + ... + 1701200543.

It is an arithmetic number, because the mean of its divisors is an integer number (280661711600).

Almost surely, 220222100210200 is an apocalyptic number.

20222100210200 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 20222100210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26943524313600).

20222100210200 is an abundant number, since it is smaller than the sum of its proper divisors (33664948417000).

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

20222100210200 is a wasteful number, since it uses less digits than its factorization.

20222100210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15290 (or 15281 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20222100210200 its reverse (201200122202), we get a palindrome (20423300332402).

The spelling of 20222100210200 in words is "twenty trillion, two hundred twenty-two billion, one hundred million, two hundred ten thousand, two hundred".