Search a number
-
+
2030210000 = 24547132397
BaseRepresentation
bin111100100000010…
…1000101111010000
312020111012100112222
41321000220233100
513124213210000
6533242240212
7101211333410
oct17100505720
95214170488
102030210000
11952000905
12487ab6068
132647c3ac0
141538c0640
15bd37da85
hex79028bd0

2030210000 has 400 divisors, whose sum is σ = 6377758464. Its totient is φ = 608256000.

The previous prime is 2030209999. The next prime is 2030210003. The reversal of 2030210000 is 120302.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2030210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030210003) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 20929952 + ... + 20930048.

Almost surely, 22030210000 is an apocalyptic number.

2030210000 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 2030210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188879232).

2030210000 is an abundant number, since it is smaller than the sum of its proper divisors (4347548464).

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

2030210000 is a wasteful number, since it uses less digits than its factorization.

2030210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2030210000 is about 45057.8517020064. The cubic root of 2030210000 is about 1266.2330772039.

Adding to 2030210000 its reverse (120302), we get a palindrome (2030330302).

The spelling of 2030210000 in words is "two billion, thirty million, two hundred ten thousand".