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22032112 = 2429103461
BaseRepresentation
bin101010000001…
…0111011110000
31112110100101011
41110002323300
521120011422
62104120304
7355161364
oct124027360
945410334
1022032112
1111489063
127466094
13474536b
142cd72a4
151e03077
hex1502ef0

22032112 has 40 divisors (see below), whose sum is σ = 44684640. Its totient is φ = 10510080.

The previous prime is 22032097. The next prime is 22032121. The reversal of 22032112 is 21123022.

It is a junction number, because it is equal to n+sod(n) for n = 22032092 and 22032101.

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, 47562 + ... + 48022.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 222032112 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 22032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342320).

22032112 is an abundant number, since it is smaller than the sum of its proper divisors (22652528).

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

22032112 is a wasteful number, since it uses less digits than its factorization.

22032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 22032112 is about 4693.8376622972. The cubic root of 22032112 is about 280.3401987376.

Adding to 22032112 its reverse (21123022), we get a palindrome (43155134).

The spelling of 22032112 in words is "twenty-two million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 103 116 206 232 412 461 464 824 922 1648 1844 2987 3688 5974 7376 11948 13369 23896 26738 47483 47792 53476 94966 106952 189932 213904 379864 759728 1377007 2754014 5508028 11016056 22032112