Search a number
-
+
22312064 = 27315623
BaseRepresentation
bin101010100011…
…1010010000000
31112222120101202
41111013102000
521202441224
62114120332
7360435515
oct125072200
945876352
1022312064
111165a425
1275800a8
134812908
142d6b30c
151e5aeae
hex1547480

22312064 has 32 divisors (see below), whose sum is σ = 45891840. Its totient is φ = 10794240.

The previous prime is 22312063. The next prime is 22312067. The reversal of 22312064 is 46021322.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×223120643 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22312063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1157 + ... + 6779.

It is an arithmetic number, because the mean of its divisors is an integer number (1434120).

Almost surely, 222312064 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 22312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22945920).

22312064 is an abundant number, since it is smaller than the sum of its proper divisors (23579776).

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

22312064 is an equidigital number, since it uses as much as digits as its factorization.

22312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 22312064 is about 4723.5647555633. The cubic root of 22312064 is about 281.5225897760.

Adding to 22312064 its reverse (46021322), we get a palindrome (68333386).

The spelling of 22312064 in words is "twenty-two million, three hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 5623 11246 22492 44984 89968 174313 179936 348626 359872 697252 719744 1394504 2789008 5578016 11156032 22312064