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22210120 = 235555253
BaseRepresentation
bin101010010111…
…0011001001000
31112210101120001
41110232121020
521141210440
62112012344
7356532352
oct124563110
945711501
1022210120
111159a879
1275310b4
1347a83aa
142d420d2
151e3ab9a
hex152e648

22210120 has 16 divisors (see below), whose sum is σ = 49972860. Its totient is φ = 8884032.

The previous prime is 22210103. The next prime is 22210121. The reversal of 22210120 is 2101222.

It can be written as a sum of positive squares in 2 ways, for example, as 21473956 + 736164 = 4634^2 + 858^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22210097 and 22210106.

It is not an unprimeable number, because it can be changed into a prime (22210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277587 + ... + 277666.

Almost surely, 222210120 is an apocalyptic number.

22210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210120 is an abundant number, since it is smaller than the sum of its proper divisors (27762740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22210120 is a wasteful number, since it uses less digits than its factorization.

22210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555264 (or 555260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 22210120 is about 4712.7613985858. The cubic root of 22210120 is about 281.0931754518.

Adding to 22210120 its reverse (2101222), we get a palindrome (24311342).

It can be divided in two parts, 2 and 2210120, that added together give a palindrome (2210122).

The spelling of 22210120 in words is "twenty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 555253 1110506 2221012 2776265 4442024 5552530 11105060 22210120