Search a number
-
+
3222014144 = 262961149191
BaseRepresentation
bin1100000000001100…
…0000100011000000
322022112210021111012
43000003000203000
523044313423034
61251414540052
7142562445146
oct30003004300
98275707435
103222014144
111403819a08
1275b067628
133c46a895b
14227cb9596
1513cceacce
hexc00c08c0

3222014144 has 112 divisors (see below), whose sum is σ = 6803136000. Its totient is φ = 1511731200.

The previous prime is 3222014137. The next prime is 3222014149. The reversal of 3222014144 is 4414102223.

It is not an unprimeable number, because it can be changed into a prime (3222014149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16869089 + ... + 16869279.

Almost surely, 23222014144 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 3222014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401568000).

3222014144 is an abundant number, since it is smaller than the sum of its proper divisors (3581121856).

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

3222014144 is a wasteful number, since it uses less digits than its factorization.

3222014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3222014144 is about 56762.7883740748. The cubic root of 3222014144 is about 1476.9840799545.

Adding to 3222014144 its reverse (4414102223), we get a palindrome (7636116367).

It can be divided in two parts, 32220 and 14144, that added together give a palindrome (46364).

The spelling of 3222014144 in words is "three billion, two hundred twenty-two million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 149 191 232 244 298 382 464 488 596 764 928 976 1192 1528 1769 1856 1952 2384 3056 3538 3904 4321 4768 5539 6112 7076 8642 9089 9536 11078 11651 12224 14152 17284 18178 22156 23302 28304 28459 34568 36356 44312 46604 56608 56918 69136 72712 88624 93208 113216 113836 138272 145424 177248 186416 227672 263581 276544 290848 337879 354496 372832 455344 527162 581696 675758 745664 825311 910688 1054324 1351516 1650622 1735999 1821376 2108648 2703032 3301244 3471998 4217296 5406064 6602488 6943996 8434592 10812128 13204976 13887992 16869184 21624256 26409952 27775984 50343971 52819904 55551968 100687942 111103936 201375884 402751768 805503536 1611007072 3222014144