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22271072 = 2529103233
BaseRepresentation
bin101010011110…
…1010001100000
31112220111011112
41110331101200
521200133242
62113202452
7360205145
oct124752140
945814145
1022271072
111163164a
127560428
1347ca065
142d5a3cc
151e4dc82
hex153d460

22271072 has 48 divisors (see below), whose sum is σ = 45995040. Its totient is φ = 10601472.

The previous prime is 22271027. The next prime is 22271083. The reversal of 22271072 is 27017222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95468 + ... + 95700.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 222271072 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 22271072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997520).

22271072 is an abundant number, since it is smaller than the sum of its proper divisors (23723968).

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

22271072 is a wasteful number, since it uses less digits than its factorization.

22271072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 22271072 is about 4719.2236649686. The cubic root of 22271072 is about 281.3500784914.

Adding to 22271072 its reverse (27017222), we get a palindrome (49288294).

The spelling of 22271072 in words is "twenty-two million, two hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 103 116 206 232 233 412 464 466 824 928 932 1648 1864 2987 3296 3728 5974 6757 7456 11948 13514 23896 23999 27028 47792 47998 54056 95584 95996 108112 191992 216224 383984 695971 767968 1391942 2783884 5567768 11135536 22271072