Search a number
-
+
3222831052 = 2273167151367
BaseRepresentation
bin1100000000011000…
…0111111111001100
322022121022210002001
43000012013333030
523100021043202
61251444242044
7142602416620
oct30006077714
98277283061
103222831052
111404227741
1275b3a0324
133c490372c
1422804d180
1513ce0cd87
hexc0187fcc

3222831052 has 96 divisors (see below), whose sum is σ = 6816137216. Its totient is φ = 1304424000.

The previous prime is 3222831019. The next prime is 3222831061. The reversal of 3222831052 is 2501382223.

It is a super-3 number, since 3×32228310523 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3222831052.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8781373 + ... + 8781739.

Almost surely, 23222831052 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 3222831052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408068608).

3222831052 is an abundant number, since it is smaller than the sum of its proper divisors (3593306164).

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

3222831052 is a wasteful number, since it uses less digits than its factorization.

3222831052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3222831052 is about 56769.9837237954. The cubic root of 3222831052 is about 1477.1088940305.

The spelling of 3222831052 in words is "three billion, two hundred twenty-two million, eight hundred thirty-one thousand, fifty-two".

Divisors: 1 2 4 7 14 28 31 62 67 124 134 151 217 268 302 367 434 469 604 734 868 938 1057 1468 1876 2077 2114 2569 4154 4228 4681 5138 8308 9362 10117 10276 11377 14539 18724 20234 22754 24589 29078 32767 40468 45508 49178 55417 58156 65534 70819 79639 98356 110834 131068 141638 159278 172123 221668 283276 313627 318556 344246 387919 627254 688492 762259 775838 1254508 1524518 1551676 1717927 2195389 3049036 3435854 3712939 4390778 5335813 6871708 7425878 8781556 10671626 12025489 14851756 21343252 24050978 25990573 48101956 51981146 103962292 115101109 230202218 460404436 805707763 1611415526 3222831052