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1229488128 = 2153211379
BaseRepresentation
bin100100101001000…
…1000000000000000
310011200111110122100
41021102020000000
510004222110003
6322000110400
742316322331
oct11122100000
93150443570
101229488128
115810176a0
122a3905400
1316794a48b
14b9408288
1572e12ba3
hex49488000

1229488128 has 192 divisors, whose sum is σ = 3884914800. Its totient is φ = 371589120.

The previous prime is 1229488111. The next prime is 1229488129. The reversal of 1229488128 is 8218849221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1229488129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3243843 + ... + 3244221.

Almost surely, 21229488128 is an apocalyptic number.

1229488128 is a gapful number since it is divisible by the number (18) 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 1229488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942457400).

1229488128 is an abundant number, since it is smaller than the sum of its proper divisors (2655426672).

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

1229488128 is an equidigital number, since it uses as much as digits as its factorization.

1229488128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 395 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1229488128 is about 35064.0574948194. The cubic root of 1229488128 is about 1071.2926201292.

1229488128 divided by its product of digits (147456) gives a palindrome (8338).

The spelling of 1229488128 in words is "one billion, two hundred twenty-nine million, four hundred eighty-eight thousand, one hundred twenty-eight".