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3228429888 = 2632113193257
BaseRepresentation
bin1100000001101101…
…1110111001000000
322022222212020020100
43000123132321000
523102434224023
61252204242400
7143001126015
oct30033367100
98288766210
103228429888
111407401182
12761240400
133c5b13c58
14228aa970c
1513d666c43
hexc06dee40

3228429888 has 168 divisors, whose sum is σ = 9420487128. Its totient is φ = 1056964608.

The previous prime is 3228429887. The next prime is 3228429899. The reversal of 3228429888 is 8889248223.

It can be written as a sum of positive squares in 4 ways, for example, as 215737344 + 3012692544 = 14688^2 + 54888^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3228429881) 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, 12561856 + ... + 12562112.

Almost surely, 23228429888 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 3228429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710243564).

3228429888 is an abundant number, since it is smaller than the sum of its proper divisors (6192057240).

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

3228429888 is a wasteful number, since it uses less digits than its factorization.

3228429888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 3228429888 is about 56819.2739129954. The cubic root of 3228429888 is about 1477.9637641625.

The spelling of 3228429888 in words is "three billion, two hundred twenty-eight million, four hundred twenty-nine thousand, eight hundred eighty-eight".