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132244230400 = 285273793583
BaseRepresentation
bin111101100101001011…
…1101101000100000000
3110122100022211221222021
41323022113231010000
54131314010333100
6140430244451224
712361064261062
oct1731227550400
9418308757867
10132244230400
11510a24696a7
12217683a9b14
13c616b21409
14658757b732
15368edbaa1a
hex1eca5ed100

132244230400 has 216 divisors, whose sum is σ = 336102932480. Its totient is φ = 51498270720.

The previous prime is 132244230379. The next prime is 132244230403. The reversal of 132244230400 is 4032442231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (132244230403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36907009 + ... + 36910591.

Almost surely, 2132244230400 is an apocalyptic number.

132244230400 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 132244230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168051466240).

132244230400 is an abundant number, since it is smaller than the sum of its proper divisors (203858702080).

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

132244230400 is an equidigital number, since it uses as much as digits as its factorization.

132244230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 132244230400 its reverse (4032442231), we get a palindrome (136276672631).

The spelling of 132244230400 in words is "one hundred thirty-two billion, two hundred forty-four million, two hundred thirty thousand, four hundred".