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22276096 = 21173149
BaseRepresentation
bin101010011111…
…0100000000000
31112220202001121
41110332200000
521200313341
62113242024
7360225613
oct124764000
945822047
1022276096
11116353a7
127563314
1347cc42b
142d5c17a
151e504d1
hex153e800

22276096 has 48 divisors (see below), whose sum is σ = 45454500. Its totient is φ = 10911744.

The previous prime is 22276091. The next prime is 22276097. The reversal of 22276096 is 69067222.

It can be written as a sum of positive squares in 2 ways, for example, as 21529600 + 746496 = 4640^2 + 864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22276091) 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, 149430 + ... + 149578.

Almost surely, 222276096 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 22276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22727250).

22276096 is an abundant number, since it is smaller than the sum of its proper divisors (23178404).

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

22276096 is an equidigital number, since it uses as much as digits as its factorization.

22276096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 22276096 is about 4719.7559258928. The cubic root of 22276096 is about 281.3712329366.

The spelling of 22276096 in words is "twenty-two million, two hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 149 256 292 298 512 584 596 1024 1168 1192 2048 2336 2384 4672 4768 9344 9536 10877 18688 19072 21754 37376 38144 43508 74752 76288 87016 149504 152576 174032 305152 348064 696128 1392256 2784512 5569024 11138048 22276096