Search a number
-
+
1232200000 = 265561101
BaseRepresentation
bin100100101110001…
…1110000101000000
310011212121020122001
41021130132011000
510010420400000
6322134153344
742351345553
oct11134360500
93155536561
101232200000
115825aa109
122a47b2854
13168389935
14b991269a
157329b46a
hex4971e140

1232200000 has 168 divisors, whose sum is σ = 3137096088. Its totient is φ = 480000000.

The previous prime is 1232199979. The next prime is 1232200003. The reversal of 1232200000 is 22321.

It can be written as a sum of positive squares in 12 ways, for example, as 1231167744 + 1032256 = 35088^2 + 1016^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1232200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12199950 + ... + 12200050.

It is an arithmetic number, because the mean of its divisors is an integer number (18673191).

Almost surely, 21232200000 is an apocalyptic number.

1232200000 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 1232200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568548044).

1232200000 is an abundant number, since it is smaller than the sum of its proper divisors (1904896088).

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

1232200000 is an frugal number, since it uses more digits than its factorization.

1232200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1232200000 is about 35102.7064483638. The cubic root of 1232200000 is about 1072.0796888856.

Adding to 1232200000 its reverse (22321), we get a palindrome (1232222321).

The spelling of 1232200000 in words is "one billion, two hundred thirty-two million, two hundred thousand".