Search a number
-
+
22036608 = 2732113747
BaseRepresentation
bin101010000010…
…0000010000000
31112110120112200
41110010002000
521120132413
62104153200
7355210446
oct124040200
945416480
1022036608
1111491480
127468800
134747419
142cd8b96
151e04573
hex1504080

22036608 has 192 divisors, whose sum is σ = 72558720. Its totient is φ = 6359040.

The previous prime is 22036589. The next prime is 22036613. The reversal of 22036608 is 80663022.

22036608 is a `hidden beast` number, since 2 + 20 + 36 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×220366082 = 971224184291328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468841 + ... + 468887.

It is an arithmetic number, because the mean of its divisors is an integer number (377910).

Almost surely, 222036608 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 22036608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36279360).

22036608 is an abundant number, since it is smaller than the sum of its proper divisors (50522112).

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

22036608 is a wasteful number, since it uses less digits than its factorization.

22036608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22036608 is about 4694.3165636757. The cubic root of 22036608 is about 280.3592667205.

The spelling of 22036608 in words is "twenty-two million, thirty-six thousand, six hundred eight".