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2098109400 = 23352172941173
BaseRepresentation
bin111110100001110…
…1001101111011000
312102012222000000120
41331003221233120
513244104000100
6544105433240
7102664431012
oct17503515730
95365860016
102098109400
11987367712
124a679b820
132758a846a
1415c9171b2
15c42e20a0
hex7d0e9bd8

2098109400 has 384 divisors, whose sum is σ = 7340155200. Its totient is φ = 493158400.

The previous prime is 2098109353. The next prime is 2098109401. The reversal of 2098109400 is 49018902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098109401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12127714 + ... + 12127886.

Almost surely, 22098109400 is an apocalyptic number.

2098109400 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 2098109400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670077600).

2098109400 is an abundant number, since it is smaller than the sum of its proper divisors (5242045800).

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

2098109400 is a wasteful number, since it uses less digits than its factorization.

2098109400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2098109400 is about 45805.1241674990. The cubic root of 2098109400 is about 1280.1947538950.

The spelling of 2098109400 in words is "two billion, ninety-eight million, one hundred nine thousand, four hundred".