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2105250000 = 243567401
BaseRepresentation
bin111110101111011…
…1001000011010000
312102201101210002020
41331132321003100
513302421000000
6544522451440
7103112221050
oct17536710320
95381353066
102105250000
119903a4537
124a9063b80
13277208679
1415d855560
15c4c52ba0
hex7d7b90d0

2105250000 has 280 divisors, whose sum is σ = 7788650304. Its totient is φ = 480000000.

The previous prime is 2105249987. The next prime is 2105250031. The reversal of 2105250000 is 525012.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 5249800 + ... + 5250200.

Almost surely, 22105250000 is an apocalyptic number.

2105250000 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 2105250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894325152).

2105250000 is an abundant number, since it is smaller than the sum of its proper divisors (5683400304).

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

2105250000 is an frugal number, since it uses more digits than its factorization.

2105250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2105250000 is about 45883.0033890546. The cubic root of 2105250000 is about 1281.6454262336.

Adding to 2105250000 its reverse (525012), we get a palindrome (2105775012).

The spelling of 2105250000 in words is "two billion, one hundred five million, two hundred fifty thousand".