Search a number
-
+
3222003301132 = 2271129421856831
BaseRepresentation
bin101110111000101110010…
…111001011101100001100
3102102000112221122110201111
4232320232113023230030
5410242130321114012
610504100132421404
7451532150116060
oct56705627135414
912360487573644
103222003301132
111032497958770
12440542477864
131a4aab588795
14b1d35377aa0
1558c29749ba7
hex2ee2e5cbb0c

3222003301132 has 96 divisors (see below), whose sum is σ = 7289515376640. Its totient is φ = 1209158496000.

The previous prime is 3222003301079. The next prime is 3222003301141. The reversal of 3222003301132 is 2311033002223.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3331957 + ... + 4188787.

It is an arithmetic number, because the mean of its divisors is an integer number (75932451840).

Almost surely, 23222003301132 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 3222003301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644757688320).

3222003301132 is an abundant number, since it is smaller than the sum of its proper divisors (4067512075508).

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

3222003301132 is a wasteful number, since it uses less digits than its factorization.

3222003301132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857303 (or 857301 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3222003301132 its reverse (2311033002223), we get a palindrome (5533036303355).

The spelling of 3222003301132 in words is "three trillion, two hundred twenty-two billion, three million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 421 638 812 842 1276 1684 2233 2947 4466 4631 5894 8932 9262 11788 12209 18524 24418 32417 48836 64834 85463 129668 134299 170926 268598 341852 537196 856831 940093 1713662 1880186 3427324 3760372 5997817 9425141 11995634 18850282 23991268 24848099 37700564 49696198 65975987 99392396 131951974 173936693 263903948 273329089 347873386 360725851 546658178 695746772 721451702 1093316356 1442903404 1913303623 2525080957 3826607246 3967984361 5050161914 7653214492 7935968722 10100323828 10461049679 15871937444 20922099358 27775890527 41844198716 55551781054 73227347753 111103562108 115071546469 146454695506 230143092938 292909391012 460286185876 805500825283 1611001650566 3222003301132