Search a number
-
+
22006664664 = 23353149116113
BaseRepresentation
bin10100011111101100…
…110000110111011000
32002210200102101200020
4110133230300313120
5330032201232124
614035411110440
71406226364125
oct243754606730
962720371606
1022006664664
119373208976
124321ba2420
1320c934668a
1410ca9d774c
1588bee8379
hex51fb30dd8

22006664664 has 64 divisors (see below), whose sum is σ = 56431404000. Its totient is φ = 7148783616.

The previous prime is 22006664639. The next prime is 22006664749. The reversal of 22006664664 is 46646660022.

It is a congruent number.

It is an unprimeable number.

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, 131472 + ... + 247584.

Almost surely, 222006664664 is an apocalyptic number.

22006664664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22006664664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28215702000).

22006664664 is an abundant number, since it is smaller than the sum of its proper divisors (34424739336).

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

22006664664 is a wasteful number, since it uses less digits than its factorization.

22006664664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116324 (or 116320 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 22006664664 in words is "twenty-two billion, six million, six hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 149 159 212 298 318 424 447 596 636 894 1192 1272 1788 3576 7897 15794 23691 31588 47382 63176 94764 116113 189528 232226 348339 464452 696678 928904 1393356 2786712 6153989 12307978 17300837 18461967 24615956 34601674 36923934 49231912 51902511 69203348 73847868 103805022 138406696 147695736 207610044 415220088 916944361 1833888722 2750833083 3667777444 5501666166 7335554888 11003332332 22006664664