Search a number
-
+
3233220432 = 24313371311069
BaseRepresentation
bin1100000010110111…
…0000011101010000
322100022212121121220
43000231300131100
523110201023212
61252455045040
7143056630431
oct30055603520
98308777556
103233220432
11140a083402
12762970780
133c6b005b0
14229595488
1513dcb138c
hexc0b70750

3233220432 has 160 divisors (see below), whose sum is σ = 9317320320. Its totient is φ = 959662080.

The previous prime is 3233220401. The next prime is 3233220437. The reversal of 3233220432 is 2340223323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233220437) 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 31 ways as a sum of consecutive naturals, for example, 3023994 + ... + 3025062.

It is an arithmetic number, because the mean of its divisors is an integer number (58233252).

Almost surely, 23233220432 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 3233220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658660160).

3233220432 is an abundant number, since it is smaller than the sum of its proper divisors (6084099888).

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

3233220432 is a wasteful number, since it uses less digits than its factorization.

3233220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3233220432 is about 56861.4142631011. The cubic root of 3233220432 is about 1478.6944342337.

Adding to 3233220432 its reverse (2340223323), we get a palindrome (5573443755).

The spelling of 3233220432 in words is "three billion, two hundred thirty-three million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 131 148 156 208 222 262 296 312 393 444 481 524 592 624 786 888 962 1048 1069 1443 1572 1703 1776 1924 2096 2138 2886 3144 3207 3406 3848 4276 4847 5109 5772 6288 6414 6812 7696 8552 9694 10218 11544 12828 13624 13897 14541 17104 19388 20436 23088 25656 27248 27794 29082 38776 39553 40872 41691 51312 55588 58164 63011 77552 79106 81744 83382 111176 116328 118659 126022 140039 158212 166764 189033 222352 232656 237318 252044 280078 316424 333528 378066 420117 474636 504088 514189 560156 632848 667056 756132 840234 949272 1008176 1028378 1120312 1512264 1542567 1680468 1820507 1898544 2056756 2240624 3024528 3085134 3360936 3641014 4113512 5181443 5461521 6170268 6721872 7282028 8227024 10362886 10923042 12340536 14564056 15544329 20725772 21846084 24681072 29128112 31088658 41451544 43692168 62177316 67358759 82903088 87384336 124354632 134717518 202076277 248709264 269435036 404152554 538870072 808305108 1077740144 1616610216 3233220432