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3325114000 = 2453131953127
BaseRepresentation
bin1100011000110001…
…0011011010010000
322120201210021220101
43012030103122100
523302212122000
61305540422144
7145254000625
oct30614233220
98521707811
103325114000
111456a383aa
127896a7954
1340cb663a0
1423787634c
15146db3e6a
hexc6313690

3325114000 has 320 divisors, whose sum is σ = 9359400960. Its totient is φ = 1132185600.

The previous prime is 3325113991. The next prime is 3325114129. The reversal of 3325114000 is 4115233.

It is a super-2 number, since 2×33251140002 = 22112766225992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26181937 + ... + 26182063.

It is an arithmetic number, because the mean of its divisors is an integer number (29248128).

Almost surely, 23325114000 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 3325114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

3325114000 is an abundant number, since it is smaller than the sum of its proper divisors (6034286960).

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

3325114000 is a wasteful number, since it uses less digits than its factorization.

3325114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3325114000 is about 57663.8014702465. The cubic root of 3325114000 is about 1492.5727663131.

Adding to 3325114000 its reverse (4115233), we get a palindrome (3329229233).

The spelling of 3325114000 in words is "three billion, three hundred twenty-five million, one hundred fourteen thousand".