Search a number
-
+
112165425 = 33521071553
BaseRepresentation
bin1101010111110…
…00001000110001
321211001121001000
412223320020301
5212203243200
615044032213
72531250621
oct653701061
9254047030
10112165425
11583505a9
1231692669
131a312b98
1410c7a881
159ca9300
hex6af8231

112165425 has 48 divisors (see below), whose sum is σ = 208111680. Its totient is φ = 59224320.

The previous prime is 112165421. The next prime is 112165481. The reversal of 112165425 is 524561211.

112165425 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 654 + 2 + 5 = 666.

It is not a de Polignac number, because 112165425 - 22 = 112165421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112165421) by changing a digit.

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, 71449 + ... + 73001.

It is an arithmetic number, because the mean of its divisors is an integer number (4335660).

Almost surely, 2112165425 is an apocalyptic number.

112165425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112165425 is a deficient number, since it is larger than the sum of its proper divisors (95946255).

112165425 is a wasteful number, since it uses less digits than its factorization.

112165425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 112165425 is about 10590.8179570796. The cubic root of 112165425 is about 482.2656561991.

It can be divided in two parts, 11216 and 5425, that added together give a square (16641 = 1292).

The spelling of 112165425 in words is "one hundred twelve million, one hundred sixty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 107 135 225 321 535 675 963 1553 1605 2675 2889 4659 4815 7765 8025 13977 14445 23295 24075 38825 41931 69885 72225 116475 166171 209655 349425 498513 830855 1048275 1495539 2492565 4154275 4486617 7477695 12462825 22433085 37388475 112165425