Search a number
-
+
1232220000 = 25354111867
BaseRepresentation
bin100100101110010…
…0010111101100000
310011212122021001210
41021130202331200
510010422020000
6322134430120
742351461064
oct11134427540
93155567053
101232220000
11582613140
122a4802340
13168395a7b
14b9919aa4
15732a2350
hex49722f60

1232220000 has 240 divisors, whose sum is σ = 4411737792. Its totient is φ = 298560000.

The previous prime is 1232219999. The next prime is 1232220001. The reversal of 1232220000 is 222321.

It is an interprime number because it is at equal distance from previous prime (1232219999) and next prime (1232220001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×12322200003 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (1232220001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659067 + ... + 660933.

Almost surely, 21232220000 is an apocalyptic number.

1232220000 is a gapful number since it is divisible by the number (10) 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 1232220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205868896).

1232220000 is an abundant number, since it is smaller than the sum of its proper divisors (3179517792).

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

1232220000 is a wasteful number, since it uses less digits than its factorization.

1232220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1232220000 is about 35102.9913255267. The cubic root of 1232220000 is about 1072.0854892096.

Adding to 1232220000 its reverse (222321), we get a palindrome (1232442321).

The spelling of 1232220000 in words is "one billion, two hundred thirty-two million, two hundred twenty thousand".