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22132275 = 35211139193
BaseRepresentation
bin101010001101…
…1011000110011
31112122102202220
41110123120303
521131213100
62110212123
7356056404
oct124333063
945572686
1022132275
1111547340
1274b4043
13477bb29
142d219ab
151e22aa0
hex151b633

22132275 has 48 divisors (see below), whose sum is σ = 40414080. Its totient is φ = 10598400.

The previous prime is 22132267. The next prime is 22132291. The reversal of 22132275 is 57223122.

It is a happy number.

It is not a de Polignac number, because 22132275 - 23 = 22132267 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 114579 + ... + 114771.

It is an arithmetic number, because the mean of its divisors is an integer number (841960).

Almost surely, 222132275 is an apocalyptic number.

22132275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22132275 is a deficient number, since it is larger than the sum of its proper divisors (18281805).

22132275 is a wasteful number, since it uses less digits than its factorization.

22132275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 351 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 22132275 is about 4704.4951907723. The cubic root of 22132275 is about 280.7643867018.

Adding to 22132275 its reverse (57223122), we get a palindrome (79355397).

The spelling of 22132275 in words is "twenty-two million, one hundred thirty-two thousand, two hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 139 165 193 275 417 579 695 825 965 1529 2085 2123 2895 3475 4587 4825 6369 7645 10425 10615 14475 22935 26827 31845 38225 53075 80481 114675 134135 159225 295097 402405 670675 885291 1475485 2012025 4426455 7377425 22132275