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20098200 = 23352194143
BaseRepresentation
bin100110010101…
…0110010011000
31101211002112210
41030222302120
520121120300
61554435120
7332555223
oct114526230
941732483
1020098200
1110388091
126892aa0
134219035
1429525ba
151b70050
hex132ac98

20098200 has 192 divisors, whose sum is σ = 68745600. Its totient is φ = 4838400.

The previous prime is 20098193. The next prime is 20098229. The reversal of 20098200 is 289002.

20098200 = T1445 + T1446 + ... + T1463.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467379 + ... + 467421.

It is an arithmetic number, because the mean of its divisors is an integer number (358050).

Almost surely, 220098200 is an apocalyptic number.

20098200 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 20098200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

20098200 is an abundant number, since it is smaller than the sum of its proper divisors (48647400).

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

20098200 is a wasteful number, since it uses less digits than its factorization.

20098200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20098200 is about 4483.1016049160. The cubic root of 20098200 is about 271.8852962146.

The spelling of 20098200 in words is "twenty million, ninety-eight thousand, two hundred".