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3325422500 = 22541817349
BaseRepresentation
bin1100011000110101…
…1110101110100100
322120202100222002022
43012031132232210
523302302010000
61305551202312
7145256424221
oct30615365644
98522328068
103325422500
111457129164
12789816398
1340cc4392a
14237916948
15146e25585
hexc635eba4

3325422500 has 60 divisors (see below), whose sum is σ = 7313205900. Its totient is φ = 1322640000.

The previous prime is 3325422497. The next prime is 3325422523. The reversal of 3325422500 is 52245233.

It can be written as a sum of positive squares in 10 ways, for example, as 3108508516 + 216913984 = 55754^2 + 14728^2 .

It is a super-2 number, since 2×33254225002 = 22116869607012500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3325422500.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 448826 + ... + 456174.

It is an arithmetic number, because the mean of its divisors is an integer number (121886765).

Almost surely, 23325422500 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 3325422500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656602950).

3325422500 is an abundant number, since it is smaller than the sum of its proper divisors (3987783400).

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

3325422500 is a wasteful number, since it uses less digits than its factorization.

3325422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 3325422500 is about 57666.4763966033. The cubic root of 3325422500 is about 1492.6189245760.

Adding to 3325422500 its reverse (52245233), we get a palindrome (3377667733).

The spelling of 3325422500 in words is "three billion, three hundred twenty-five million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 181 250 362 500 625 724 905 1250 1810 2500 3620 4525 7349 9050 14698 18100 22625 29396 36745 45250 73490 90500 113125 146980 183725 226250 367450 452500 734900 918625 1330169 1837250 2660338 3674500 4593125 5320676 6650845 9186250 13301690 18372500 26603380 33254225 66508450 133016900 166271125 332542250 665084500 831355625 1662711250 3325422500