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22730800662 = 2337112834621
BaseRepresentation
bin10101001010110111…
…000111111000010110
32011200011000022112000
4111022313013320112
5333023041110122
614235315540130
71433201421603
oct251267077026
964604008460
1022730800662
119704a42a79
1244a45ba646
1321b338690b
141158c556aa
158d08870ac
hex54adc7e16

22730800662 has 64 divisors (see below), whose sum is σ = 51275358720. Its totient is φ = 7462778400.

The previous prime is 22730800637. The next prime is 22730800669. The reversal of 22730800662 is 26600803722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22730800669) 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 31 ways as a sum of consecutive naturals, for example, 4916712 + ... + 4921332.

It is an arithmetic number, because the mean of its divisors is an integer number (801177480).

Almost surely, 222730800662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22730800662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25637679360).

22730800662 is an abundant number, since it is smaller than the sum of its proper divisors (28544558058).

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

22730800662 is a wasteful number, since it uses less digits than its factorization.

22730800662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22730800662 in words is "twenty-two billion, seven hundred thirty million, eight hundred thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1283 1917 2566 3834 3849 4621 7698 9242 11547 13863 23094 27726 34641 41589 69282 83178 91093 124767 182186 249534 273279 328091 546558 656182 819837 984273 1639674 1968546 2459511 2952819 4919022 5905638 5928743 8858457 11857486 17716914 17786229 35572458 53358687 106717374 160076061 320152122 420940753 841881506 1262822259 2525644518 3788466777 7576933554 11365400331 22730800662