Search a number
-
+
2011231200 = 2535211293771
BaseRepresentation
bin111011111100000…
…1111001111100000
312012011111010112110
41313320033033200
513104333344300
6531323355320
7100561116546
oct16770171740
95164433473
102011231200
11942318850
12481682b40
132608aa444
1415117dd96
15bb880550
hex77e0f3e0

2011231200 has 576 divisors, whose sum is σ = 7694507520. Its totient is φ = 451584000.

The previous prime is 2011231199. The next prime is 2011231207. The reversal of 2011231200 is 21321102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011231207) 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, 28327165 + ... + 28327235.

It is an arithmetic number, because the mean of its divisors is an integer number (13358520).

Almost surely, 22011231200 is an apocalyptic number.

2011231200 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 2011231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847253760).

2011231200 is an abundant number, since it is smaller than the sum of its proper divisors (5683276320).

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

2011231200 is a wasteful number, since it uses less digits than its factorization.

2011231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2011231200 is about 44846.7523907808. The cubic root of 2011231200 is about 1262.2750532138.

Adding to 2011231200 its reverse (21321102), we get a palindrome (2032552302).

The spelling of 2011231200 in words is "two billion, eleven million, two hundred thirty-one thousand, two hundred".