Search a number
-
+
22834656 = 25331319107
BaseRepresentation
bin101011100011…
…0110111100000
31120222010021000
41113012313200
521321202111
62133232000
7365043225
oct127066740
946863230
1022834656
1111987019
127792600
134966740
14306594c
152010c56
hex15c6de0

22834656 has 192 divisors, whose sum is σ = 76204800. Its totient is φ = 6594048.

The previous prime is 22834649. The next prime is 22834657. The reversal of 22834656 is 65643822.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (69120) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 22834656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22834657) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 213355 + ... + 213461.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 222834656 is an apocalyptic number.

22834656 is a gapful number since it is divisible by the number (26) 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 22834656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

22834656 is an abundant number, since it is smaller than the sum of its proper divisors (53370144).

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

22834656 is a wasteful number, since it uses less digits than its factorization.

22834656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 22834656 is about 4778.5621268327. The cubic root of 22834656 is about 283.7035854658.

The spelling of 22834656 in words is "twenty-two million, eight hundred thirty-four thousand, six hundred fifty-six".