Search a number
-
+
3220022624 = 257136831619
BaseRepresentation
bin1011111111101101…
…1010010101100000
322022102001002122012
42333323122111200
523043311210444
61251304132052
7142536512030
oct27773322540
98272032565
103220022624
111402689725
1275a467028
133c415c340
1422791b8c0
1513ca55b9e
hexbfeda560

3220022624 has 96 divisors (see below), whose sum is σ = 7818612480. Its totient is φ = 1271204352.

The previous prime is 3220022623. The next prime is 3220022633. The reversal of 3220022624 is 4262200223.

It is a self number, because there is not a number n which added to its sum of digits gives 3220022624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220022623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1988087 + ... + 1989705.

It is an arithmetic number, because the mean of its divisors is an integer number (81443880).

Almost surely, 23220022624 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 3220022624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909306240).

3220022624 is an abundant number, since it is smaller than the sum of its proper divisors (4598589856).

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

3220022624 is a wasteful number, since it uses less digits than its factorization.

3220022624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3220022624 is about 56745.2431839004. The cubic root of 3220022624 is about 1476.6797103433.

Adding to 3220022624 its reverse (4262200223), we get a palindrome (7482222847).

The spelling of 3220022624 in words is "three billion, two hundred twenty million, twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 683 728 1366 1456 1619 2732 2912 3238 4781 5464 6476 8879 9562 10928 11333 12952 17758 19124 21047 21856 22666 25904 35516 38248 42094 45332 51808 62153 71032 76496 84188 90664 124306 142064 147329 152992 168376 181328 248612 284128 294658 336752 362656 497224 589316 673504 994448 1105777 1178632 1988896 2211554 2357264 4423108 4714528 7740439 8846216 14375101 15480878 17692432 28750202 30961756 35384864 57500404 61923512 100625707 115000808 123847024 201251414 230001616 247694048 402502828 460003232 805005656 1610011312 3220022624