Search a number
-
+
3233231120 = 24579975791
BaseRepresentation
bin1100000010110111…
…0011000100010000
322100022220011021202
43000231303010100
523110201343440
61252455210332
7143060003540
oct30055630420
98308804252
103233231120
11140a090439
127629769a8
133c6b05412
14229599320
1513dcb4615
hexc0b73110

3233231120 has 80 divisors (see below), whose sum is σ = 8601259008. Its totient is φ = 1107233280.

The previous prime is 3233231117. The next prime is 3233231137. The reversal of 3233231120 is 211323323.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3233231092 and 3233231101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555425 + ... + 561215.

Almost surely, 23233231120 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 3233231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300629504).

3233231120 is an abundant number, since it is smaller than the sum of its proper divisors (5368027888).

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

3233231120 is a wasteful number, since it uses less digits than its factorization.

3233231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3233231120 is about 56861.5082459127. The cubic root of 3233231120 is about 1478.6960635967.

Adding to 3233231120 its reverse (211323323), we get a palindrome (3444554443).

The spelling of 3233231120 in words is "three billion, two hundred thirty-three million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 997 1994 3988 4985 5791 6979 7976 9970 11582 13958 15952 19940 23164 27916 28955 34895 39880 40537 46328 55832 57910 69790 79760 81074 92656 111664 115820 139580 162148 202685 231640 279160 324296 405370 463280 558320 648592 810740 1621480 3242960 5773627 11547254 23094508 28868135 40415389 46189016 57736270 80830778 92378032 115472540 161661556 202076945 230945080 323323112 404153890 461890160 646646224 808307780 1616615560 3233231120