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2097200200 = 235210486001
BaseRepresentation
bin111110100000000…
…1011110001001000
312102011020210211111
41331000023301020
513243340401300
6544034140104
7102653623204
oct17500136110
95364223744
102097200200
119868a6607
124a6421634
1327564a684
1415c75bb04
15c41b29ba
hex7d00bc48

2097200200 has 24 divisors (see below), whose sum is σ = 4875990930. Its totient is φ = 838880000.

The previous prime is 2097200179. The next prime is 2097200213. The reversal of 2097200200 is 20027902.

It can be written as a sum of positive squares in 3 ways, for example, as 785456676 + 1311743524 = 28026^2 + 36218^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5242801 + ... + 5243200.

Almost surely, 22097200200 is an apocalyptic number.

2097200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2097200200 is an abundant number, since it is smaller than the sum of its proper divisors (2778790730).

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

2097200200 is a wasteful number, since it uses less digits than its factorization.

2097200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486017 (or 10486008 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2097200200 is about 45795.1984382642. The cubic root of 2097200200 is about 1280.0098062400.

The spelling of 2097200200 in words is "two billion, ninety-seven million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10486001 20972002 41944004 52430005 83888008 104860010 209720020 262150025 419440040 524300050 1048600100 2097200200