Search a number
-
+
22666896 = 24327113199
BaseRepresentation
bin101011001110…
…1111010010000
31120122121010200
41112131322100
521300320041
62125455200
7363444150
oct126357220
946577120
1022666896
1111881a7a
127711500
134908285
143020760
151ecb1b6
hex159de90

22666896 has 120 divisors (see below), whose sum is σ = 73507200. Its totient is φ = 6386688.

The previous prime is 22666883. The next prime is 22666913. The reversal of 22666896 is 69866622.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (373248) is a multiple of the sum of its prime divisors (324).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113805 + ... + 114003.

It is an arithmetic number, because the mean of its divisors is an integer number (612560).

Almost surely, 222666896 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 22666896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36753600).

22666896 is an abundant number, since it is smaller than the sum of its proper divisors (50840304).

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

22666896 is a wasteful number, since it uses less digits than its factorization.

22666896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 22666896 is about 4760.9763704518. The cubic root of 22666896 is about 283.0071127414.

The spelling of 22666896 in words is "twenty-two million, six hundred sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 199 226 252 336 339 398 452 504 597 678 791 796 904 1008 1017 1194 1356 1393 1582 1592 1791 1808 2034 2373 2388 2712 2786 3164 3184 3582 4068 4179 4746 4776 5424 5572 6328 7119 7164 8136 8358 9492 9552 11144 12537 12656 14238 14328 16272 16716 18984 22288 22487 25074 28476 28656 33432 37968 44974 50148 56952 66864 67461 89948 100296 113904 134922 157409 179896 200592 202383 269844 314818 359792 404766 472227 539688 629636 809532 944454 1079376 1259272 1416681 1619064 1888908 2518544 2833362 3238128 3777816 5666724 7555632 11333448 22666896