Search a number
-
+
230120062342200 = 233252281751605809
BaseRepresentation
bin110100010100101100000000…
…100100100101010000111000
31010011210021002210210201222100
4310110230000210211100320
5220130241341424422300
62133231410333223400
766320424445050102
oct6424540044452070
91104707083721870
10230120062342200
1167361408a7a0a8
1221986987331b60
139b532c87a2564
1440b7c28704572
151b90e3e535700
hexd14b00925438

230120062342200 has 288 divisors, whose sum is σ = 776604123172800. Its totient is φ = 61065446400000.

The previous prime is 230120062342169. The next prime is 230120062342273. The reversal of 230120062342200 is 2243260021032.

It is a happy number.

230120062342200 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 200 + 6 + 234 + 220 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 379552896 + ... + 380158704.

It is an arithmetic number, because the mean of its divisors is an integer number (2696542094350).

Almost surely, 2230120062342200 is an apocalyptic number.

230120062342200 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 230120062342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388302061586400).

230120062342200 is an abundant number, since it is smaller than the sum of its proper divisors (546484060830600).

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

230120062342200 is a wasteful number, since it uses less digits than its factorization.

230120062342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606863 (or 606851 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 230120062342200 in words is "two hundred thirty trillion, one hundred twenty billion, sixty-two million, three hundred forty-two thousand, two hundred".