Search a number
-
+
322270071642 = 2321919117832767
BaseRepresentation
bin1001011000010001100…
…10110000101101011010
31010210211112222212212100
410230020302300231122
520240002114243032
6404014314024230
732166103261041
oct4541062605532
91123745885770
10322270071642
11114746065792
125255b718076
132450b9001ac
1411852b05558
1585b288897c
hex4b08cb0b5a

322270071642 has 96 divisors (see below), whose sum is σ = 739531653120. Its totient is φ = 101143326240.

The previous prime is 322270071637. The next prime is 322270071659. The reversal of 322270071642 is 246170072223.

It is a happy number.

322270071642 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 7 + 0 + 0 + 7 + 1 + 642 = 666.

It is a super-2 number, since 2×3222700716422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 322270071597 and 322270071606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116467743 + ... + 116470509.

It is an arithmetic number, because the mean of its divisors is an integer number (7703454720).

Almost surely, 2322270071642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322270071642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369765826560).

322270071642 is an abundant number, since it is smaller than the sum of its proper divisors (417261581478).

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

322270071642 is a wasteful number, since it uses less digits than its factorization.

322270071642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 322270071642 in words is "three hundred twenty-two billion, two hundred seventy million, seventy-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 191 342 382 573 1146 1719 1783 2767 3438 3566 3629 5349 5534 7258 8301 10698 10887 16047 16602 21774 24903 32094 32661 33877 49806 52573 65322 67754 101631 105146 157719 203262 304893 315438 340553 473157 528497 609786 681106 946314 1021659 1056994 1585491 2043318 3064977 3170982 4756473 4933561 6129954 6470507 9512946 9867122 10041443 12941014 14800683 19411521 20082886 29601366 30124329 38823042 44402049 58234563 60248658 88804098 90372987 93737659 116469126 180745974 187475318 281212977 562425954 843638931 942310151 1687277862 1884620302 2826930453 5653860906 8480791359 16961582718 17903892869 35807785738 53711678607 107423357214 161135035821 322270071642