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22532096 = 2125501
BaseRepresentation
bin101010111110…
…1000000000000
31120101202020002
41111331000000
521232011341
62122535132
7362343146
oct125750000
946352202
1022532096
111179a774
1276674a8
13488bb02
142dc7596
151ea129b
hex157d000

22532096 has 26 divisors (see below), whose sum is σ = 45066882. Its totient is φ = 11264000.

The previous prime is 22532077. The next prime is 22532113. The reversal of 22532096 is 69023522.

It can be written as a sum of positive squares in only one way, i.e., 22429696 + 102400 = 4736^2 + 320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1346 + ... + 6846.

Almost surely, 222532096 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 22532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22533441).

22532096 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

22532096 is an frugal number, since it uses more digits than its factorization.

22532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 22532096 is about 4746.7985000419. The cubic root of 22532096 is about 282.4449826292. Note that the first 3 decimals are identical.

The spelling of 22532096 in words is "twenty-two million, five hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5501 11002 22004 44008 88016 176032 352064 704128 1408256 2816512 5633024 11266048 22532096