Search a number
-
+
20112300 = 22345213191
BaseRepresentation
bin100110010111…
…0001110101100
31101211210220000
41030232032230
520122043200
61555024300
7332644305
oct114561654
941753800
1020112300
111039773a
12689b090
134222590
1429577ac
151b74300
hex132e3ac

20112300 has 180 divisors, whose sum is σ = 70578816. Its totient is φ = 4924800.

The previous prime is 20112277. The next prime is 20112319. The reversal of 20112300 is 321102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×201123002 = 809009222580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 105205 + ... + 105395.

Almost surely, 220112300 is an apocalyptic number.

20112300 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 20112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35289408).

20112300 is an abundant number, since it is smaller than the sum of its proper divisors (50466516).

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

20112300 is a wasteful number, since it uses less digits than its factorization.

20112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20112300 is about 4484.6739011884. The cubic root of 20112300 is about 271.9488622145.

Adding to 20112300 its reverse (321102), we get a palindrome (20433402).

The spelling of 20112300 in words is "twenty million, one hundred twelve thousand, three hundred".