Search a number
-
+
2110243200 = 273521337457
BaseRepresentation
bin111110111000111…
…1100000110000000
312110001210110110120
41331301330012000
513310210240300
6545221500240
7103202525352
oct17561740600
95401713416
102110243200
119931a4a4a
124aa871680
13278266320
141603950d2
15c53dc3a0
hex7dc7c180

2110243200 has 384 divisors, whose sum is σ = 7704402720. Its totient is φ = 504299520.

The previous prime is 2110243199. The next prime is 2110243207. The reversal of 2110243200 is 23420112.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2110243200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110243207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4617372 + ... + 4617828.

Almost surely, 22110243200 is an apocalyptic number.

2110243200 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 2110243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852201360).

2110243200 is an abundant number, since it is smaller than the sum of its proper divisors (5594159520).

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

2110243200 is a wasteful number, since it uses less digits than its factorization.

2110243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2110243200 is about 45937.3834692400. The cubic root of 2110243200 is about 1282.6578885978.

Adding to 2110243200 its reverse (23420112), we get a palindrome (2133663312).

The spelling of 2110243200 in words is "two billion, one hundred ten million, two hundred forty-three thousand, two hundred".