Search a number
-
+
3325655520 = 2532511209953
BaseRepresentation
bin1100011000111001…
…0111100111100000
322120202210210201200
43012032113213200
523302331434040
61310000201200
7145261414455
oct30616274740
98522723650
103325655520
111457278240
12789909200
1340ccc5a05
1423797782c
15146e6e630
hexc63979e0

3325655520 has 144 divisors (see below), whose sum is σ = 12380567472. Its totient is φ = 806215680.

The previous prime is 3325655507. The next prime is 3325655521. The reversal of 3325655520 is 255565233.

3325655520 is a `hidden beast` number, since 3 + 32 + 56 + 55 + 520 = 666.

3325655520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33256555202 = 22119969275412940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325655521) 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, 89137 + ... + 120816.

It is an arithmetic number, because the mean of its divisors is an integer number (85976163).

Almost surely, 23325655520 is an apocalyptic number.

3325655520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3325655520 is an abundant number, since it is smaller than the sum of its proper divisors (9054911952).

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

3325655520 is a wasteful number, since it uses less digits than its factorization.

3325655520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209985 (or 209974 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 3325655520 is about 57668.4967725014. The cubic root of 3325655520 is about 1492.6537875083.

The spelling of 3325655520 in words is "three billion, three hundred twenty-five million, six hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 209953 419906 629859 839812 1049765 1259718 1679624 1889577 2099530 2309483 2519436 3149295 3359248 3779154 4199060 4618966 5038872 6298590 6718496 6928449 7558308 8398120 9237932 9447885 10077744 11547415 12597180 13856898 15116616 16796240 18475864 18895770 20155488 20785347 23094830 25194360 27713796 30233232 33592480 34642245 36951728 37791540 41570694 46189660 50388720 55427592 60466464 69284490 73903456 75583080 83141388 92379320 100777440 103926735 110855184 138568980 151166160 166282776 184758640 207853470 221710368 277137960 302332320 332565552 369517280 415706940 554275920 665131104 831413880 1108551840 1662827760 3325655520