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22106225 = 527312113
BaseRepresentation
bin101010001010…
…1000001110001
31112121010001002
41110111001301
521124344400
62105451345
7355620431
oct124250161
945533032
1022106225
1111529809
1274a0b55
13477000b
142d162c1
151e19ed5
hex1515071

22106225 has 12 divisors (see below), whose sum is σ = 27789516. Its totient is φ = 17441280.

The previous prime is 22106221. The next prime is 22106233. The reversal of 22106225 is 52260122.

It can be written as a sum of positive squares in 6 ways, for example, as 937024 + 21169201 = 968^2 + 4601^2 .

It is not a de Polignac number, because 22106225 - 22 = 22106221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22106197 and 22106206.

It is not an unprimeable number, because it can be changed into a prime (22106221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4232 + ... + 7881.

It is an arithmetic number, because the mean of its divisors is an integer number (2315793).

Almost surely, 222106225 is an apocalyptic number.

22106225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22106225 is a deficient number, since it is larger than the sum of its proper divisors (5683291).

22106225 is a wasteful number, since it uses less digits than its factorization.

22106225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196 (or 12191 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 22106225 is about 4701.7257469997. The cubic root of 22106225 is about 280.6541889073.

Adding to 22106225 its reverse (52260122), we get a palindrome (74366347).

The spelling of 22106225 in words is "twenty-two million, one hundred six thousand, two hundred twenty-five".

Divisors: 1 5 25 73 365 1825 12113 60565 302825 884249 4421245 22106225