Search a number
-
+
22920064 = 27241743
BaseRepresentation
bin101011101101…
…1101110000000
31121010110102021
41113123232000
521331420224
62135131224
7365550226
oct127335600
947113367
1022920064
1111a35202
127813b14
13499658b
143088b16
15202b1e4
hex15dbb80

22920064 has 32 divisors (see below), whose sum is σ = 45912240. Its totient is φ = 11397120.

The previous prime is 22920049. The next prime is 22920077. The reversal of 22920064 is 46002922.

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

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 30477 + ... + 31219.

Almost surely, 222920064 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 22920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22956120).

22920064 is an abundant number, since it is smaller than the sum of its proper divisors (22992176).

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

22920064 is an equidigital number, since it uses as much as digits as its factorization.

22920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 22920064 is about 4787.4903655256. The cubic root of 22920064 is about 284.0568556407.

Adding to 22920064 its reverse (46002922), we get a palindrome (68922986).

The spelling of 22920064 in words is "twenty-two million, nine hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 241 482 743 964 1486 1928 2972 3856 5944 7712 11888 15424 23776 30848 47552 95104 179063 358126 716252 1432504 2865008 5730016 11460032 22920064