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22211125 = 531371297
BaseRepresentation
bin101010010111…
…0101000110101
31112210102221021
41110232220311
521141224000
62112021141
7356535316
oct124565065
945712837
1022211125
11115a0602
1275317b1
1347a89a1
142d4260d
151e3b11a
hex152ea35

22211125 has 16 divisors (see below), whose sum is σ = 27943344. Its totient is φ = 17625600.

The previous prime is 22211099. The next prime is 22211131. The reversal of 22211125 is 52111222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 848241 + 21362884 = 921^2 + 4622^2 .

It is not a de Polignac number, because 22211125 - 27 = 22210997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22211099 and 22211108.

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 15 ways as a sum of consecutive naturals, for example, 16477 + ... + 17773.

It is an arithmetic number, because the mean of its divisors is an integer number (1746459).

Almost surely, 222211125 is an apocalyptic number.

22211125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22211125 is a deficient number, since it is larger than the sum of its proper divisors (5732219).

22211125 is a wasteful number, since it uses less digits than its factorization.

22211125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1439 counting only the distinct ones).

The product of its digits is 80, while the sum is 16.

The square root of 22211125 is about 4712.8680227649. The cubic root of 22211125 is about 281.0974151765.

Adding to 22211125 its reverse (52111222), we get a palindrome (74322347).

The spelling of 22211125 in words is "twenty-two million, two hundred eleven thousand, one hundred twenty-five".

Divisors: 1 5 25 125 137 685 1297 3425 6485 17125 32425 162125 177689 888445 4442225 22211125