Search a number
-
+
3232000000 = 21156101
BaseRepresentation
bin1100000010100100…
…0110100000000000
322100020120121111201
43000221012200000
523104343000000
61252412550544
7143043355345
oct30051064000
98306517451
103232000000
11140941a489
12762482454
133c6793c48
142293587cc
1513db1e96a
hexc0a46800

3232000000 has 168 divisors, whose sum is σ = 8157903390. Its totient is φ = 1280000000.

The previous prime is 3231999989. The next prime is 3232000021. The reversal of 3232000000 is 2323.

It can be written as a sum of positive squares in 7 ways, for example, as 812934144 + 2419065856 = 28512^2 + 49184^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 31999950 + ... + 32000050.

Almost surely, 23232000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078951695).

3232000000 is an abundant number, since it is smaller than the sum of its proper divisors (4925903390).

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

3232000000 is an frugal number, since it uses more digits than its factorization.

3232000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3232000000 is about 56850.6816142076. The cubic root of 3232000000 is about 1478.5083583427.

Adding to 3232000000 its reverse (2323), we get a palindrome (3232002323).

It can be divided in two parts, 32 and 32000000, that multiplied together give a square (1024000000 = 320002).

The spelling of 3232000000 in words is "three billion, two hundred thirty-two million", and thus it is an aban number.