Search a number
-
+
3230022240 = 253257330727
BaseRepresentation
bin1100000010000110…
…0011101001100000
322100002212010112100
43000201203221200
523103341202430
61252302330400
7143020510314
oct30041435140
98302763470
103230022240
111408299575
12761889a00
133c6250983
14228da1b44
1513d87d960
hexc0863a60

3230022240 has 144 divisors (see below), whose sum is σ = 11173807008. Its totient is φ = 849512448.

The previous prime is 3230022239. The next prime is 3230022247. The reversal of 3230022240 is 422200323.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230022247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89757 + ... + 120483.

It is an arithmetic number, because the mean of its divisors is an integer number (77595882).

Almost surely, 23230022240 is an apocalyptic number.

3230022240 is a gapful number since it is divisible by the number (30) 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 3230022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586903504).

3230022240 is an abundant number, since it is smaller than the sum of its proper divisors (7943784768).

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

3230022240 is a wasteful number, since it uses less digits than its factorization.

3230022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30821 (or 30810 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3230022240 is about 56833.2846138599. The cubic root of 3230022240 is about 1478.2067152580.

Adding to 3230022240 its reverse (422200323), we get a palindrome (3652222563).

The spelling of 3230022240 in words is "three billion, two hundred thirty million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 438 480 584 657 720 730 876 1095 1168 1314 1440 1460 1752 2190 2336 2628 2920 3285 3504 4380 5256 5840 6570 7008 8760 10512 11680 13140 17520 21024 26280 30727 35040 52560 61454 92181 105120 122908 153635 184362 245816 276543 307270 368724 460905 491632 553086 614540 737448 921810 983264 1106172 1229080 1382715 1474896 1843620 2212344 2243071 2458160 2765430 2949792 3687240 4424688 4486142 4916320 5530860 6729213 7374480 8849376 8972284 11061720 11215355 13458426 14748960 17944568 20187639 22123440 22430710 26916852 33646065 35889136 40375278 44246880 44861420 53833704 67292130 71778272 80750556 89722840 100938195 107667408 134584260 161501112 179445680 201876390 215334816 269168520 323002224 358891360 403752780 538337040 646004448 807505560 1076674080 1615011120 3230022240