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2666223168 = 26378292393
BaseRepresentation
bin1001111011101011…
…0101011001000000
320212210222011121020
42132322311121000
520430023120133
61120322225440
7123033344250
oct23672653100
96783864536
102666223168
111149016a24
12624ab5280
133364bb65b
141b415d960
151091120b3
hex9eeb5640

2666223168 has 112 divisors (see below), whose sum is σ = 8075249280. Its totient is φ = 760541184.

The previous prime is 2666223139. The next prime is 2666223187. The reversal of 2666223168 is 8613226662.

It is a happy number.

2666223168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1112980 + ... + 1115372.

It is an arithmetic number, because the mean of its divisors is an integer number (72100440).

Almost surely, 22666223168 is an apocalyptic number.

2666223168 is a gapful number since it is divisible by the number (28) 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 2666223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037624640).

2666223168 is an abundant number, since it is smaller than the sum of its proper divisors (5409026112).

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

2666223168 is a wasteful number, since it uses less digits than its factorization.

2666223168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3234 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 2666223168 is about 51635.4836134997. The cubic root of 2666223168 is about 1386.6456682389.

The spelling of 2666223168 in words is "two billion, six hundred sixty-six million, two hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 829 1344 1658 2393 2487 3316 4786 4974 5803 6632 7179 9572 9948 11606 13264 14358 16751 17409 19144 19896 23212 26528 28716 33502 34818 38288 39792 46424 50253 53056 57432 67004 69636 76576 79584 92848 100506 114864 134008 139272 153152 159168 185696 201012 229728 268016 278544 371392 402024 459456 536032 557088 804048 1072064 1114176 1608096 1983797 3216192 3967594 5951391 7935188 11902782 13886579 15870376 23805564 27773158 31740752 41659737 47611128 55546316 63481504 83319474 95222256 111092632 126963008 166638948 190444512 222185264 333277896 380889024 444370528 666555792 888741056 1333111584 2666223168