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3225065928 = 2337219374783
BaseRepresentation
bin1100000000111010…
…1001100111001000
322022202112022202020
43000032221213020
523101104102203
61252004204440
7142630415400
oct30016514710
98282468666
103225065928
111405513847
12760099720
133c5206a46
14228471800
1513d200153
hexc03a99c8

3225065928 has 384 divisors, whose sum is σ = 10479974400. Its totient is φ = 821270016.

The previous prime is 3225065887. The next prime is 3225065929. The reversal of 3225065928 is 8295605223.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3225065928.

It is not an unprimeable number, because it can be changed into a prime (3225065929) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 38856175 + ... + 38856257.

It is an arithmetic number, because the mean of its divisors is an integer number (27291600).

Almost surely, 23225065928 is an apocalyptic number.

3225065928 is a gapful number since it is divisible by the number (38) 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 3225065928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239987200).

3225065928 is an abundant number, since it is smaller than the sum of its proper divisors (7254908472).

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

3225065928 is a wasteful number, since it uses less digits than its factorization.

3225065928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3225065928 is about 56789.6639187097. The cubic root of 3225065928 is about 1477.4502494407.

The spelling of 3225065928 in words is "three billion, two hundred twenty-five million, sixty-five thousand, nine hundred twenty-eight".