Search a number
-
+
22105525 = 5213174001
BaseRepresentation
bin101010001010…
…0110110110101
31112121002002011
41110110312311
521124334100
62105444221
7355615411
oct124246665
945532064
1022105525
1111529232
1274a0671
13476c8c0
142d15d41
151e19bba
hex1514db5

22105525 has 24 divisors (see below), whose sum is σ = 31263624. Its totient is φ = 15360000.

The previous prime is 22105469. The next prime is 22105529. The reversal of 22105525 is 52550122.

It can be written as a sum of positive squares in 12 ways, for example, as 13003236 + 9102289 = 3606^2 + 3017^2 .

It is a de Polignac number, because none of the positive numbers 2k-22105525 is a prime.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22105496 and 22105505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105529) 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 23 ways as a sum of consecutive naturals, for example, 3525 + ... + 7525.

It is an arithmetic number, because the mean of its divisors is an integer number (1302651).

Almost surely, 222105525 is an apocalyptic number.

22105525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22105525 is a deficient number, since it is larger than the sum of its proper divisors (9158099).

22105525 is a wasteful number, since it uses less digits than its factorization.

22105525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 22105525 is about 4701.6513056585. The cubic root of 22105525 is about 280.6512265441.

Adding to 22105525 its reverse (52550122), we get a palindrome (74655647).

The spelling of 22105525 in words is "twenty-two million, one hundred five thousand, five hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 221 325 425 1105 4001 5525 20005 52013 68017 100025 260065 340085 884221 1300325 1700425 4421105 22105525