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22132125 = 3253103191
BaseRepresentation
bin101010001101…
…1010110011101
31112122102120100
41110123112131
521131212000
62110211313
7356056101
oct124332635
945572510
1022132125
1111547214
1274b3b39
13477ba42
142d21901
151e22a00
hex151b59d

22132125 has 48 divisors (see below), whose sum is σ = 40495104. Its totient is φ = 11628000.

The previous prime is 22132091. The next prime is 22132127. The reversal of 22132125 is 52123122.

It is not a de Polignac number, because 22132125 - 210 = 22131101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22132098 and 22132107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115780 + ... + 115970.

It is an arithmetic number, because the mean of its divisors is an integer number (843648).

Almost surely, 222132125 is an apocalyptic number.

22132125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22132125 is a deficient number, since it is larger than the sum of its proper divisors (18362979).

22132125 is a wasteful number, since it uses less digits than its factorization.

22132125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 22132125 is about 4704.4792485460. The cubic root of 22132125 is about 280.7637524132.

Adding to 22132125 its reverse (52123122), we get a palindrome (74255247).

The spelling of 22132125 in words is "twenty-two million, one hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 103 125 191 225 309 375 515 573 927 955 1125 1545 1719 2575 2865 4635 4775 7725 8595 12875 14325 19673 23175 23875 38625 42975 59019 71625 98365 115875 177057 214875 295095 491825 885285 1475475 2459125 4426425 7377375 22132125