Search a number
-
+
1332232200 = 23325213172197
BaseRepresentation
bin100111101101000…
…0100000000001000
310102211211102000100
41033122010000020
510212022412300
6340110205400
745004533615
oct11732040010
93384742010
101332232200
11624012852
123121b3860
13183011ca0
14c8d1150c
157be5a700
hex4f684008

1332232200 has 432 divisors, whose sum is σ = 5144319180. Its totient is φ = 307077120.

The previous prime is 1332232169. The next prime is 1332232207. The reversal of 1332232200 is 22322331.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 101485476 + 1230746724 = 10074^2 + 35082^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1332232207) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6762502 + ... + 6762698.

Almost surely, 21332232200 is an apocalyptic number.

1332232200 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 1332232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572159590).

1332232200 is an abundant number, since it is smaller than the sum of its proper divisors (3812086980).

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

1332232200 is a wasteful number, since it uses less digits than its factorization.

1332232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1332232200 is about 36499.7561635691. The cubic root of 1332232200 is about 1100.3393443391.

Adding to 1332232200 its reverse (22322331), we get a palindrome (1354554531).

The spelling of 1332232200 in words is "one billion, three hundred thirty-two million, two hundred thirty-two thousand, two hundred".