Search a number
-
+
3233223120 = 243531434573
BaseRepresentation
bin1100000010110111…
…0001000111010000
322100022212202022110
43000231301013100
523110201114440
61252455105320
7143056641321
oct30055610720
98308782273
103233223120
11140a085426
12762972240
133c6b0189a
14229596448
1513dcb2080
hexc0b711d0

3233223120 has 80 divisors (see below), whose sum is σ = 10346337792. Its totient is φ = 834378240.

The previous prime is 3233223113. The next prime is 3233223127. The reversal of 3233223120 is 213223323.

It is an interprime number because it is at equal distance from previous prime (3233223113) and next prime (3233223127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233223127) 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 15 ways as a sum of consecutive naturals, for example, 209847 + ... + 224726.

Almost surely, 23233223120 is an apocalyptic number.

3233223120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3233223120 is an abundant number, since it is smaller than the sum of its proper divisors (7113114672).

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

3233223120 is a wasteful number, since it uses less digits than its factorization.

3233223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434620 (or 434614 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3233223120 is about 56861.4378995115. The cubic root of 3233223120 is about 1478.6948440140.

Adding to 3233223120 its reverse (213223323), we get a palindrome (3446446443).

The spelling of 3233223120 in words is "three billion, two hundred thirty-three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 434573 869146 1303719 1738292 2172865 2607438 3476584 4345730 5214876 6518595 6953168 8691460 10429752 13037190 13471763 17382920 20859504 26074380 26943526 34765840 40415289 52148760 53887052 67358815 80830578 104297520 107774104 134717630 161661156 202076445 215548208 269435260 323322312 404152890 538870520 646644624 808305780 1077741040 1616611560 3233223120