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22255220 = 2251385597
BaseRepresentation
bin101010011100…
…1011001110100
31112212200102102
41110321121310
521144131340
62113001232
7360111011
oct124713164
945780372
1022255220
1111620749
127553218
1347c2a90
142d54708
151e49215
hex1539674

22255220 has 24 divisors (see below), whose sum is σ = 50331624. Its totient is φ = 8217216.

The previous prime is 22255199. The next prime is 22255229. The reversal of 22255220 is 2255222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 21325924 = 964^2 + 4618^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22255192 and 22255201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22255229) 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 7 ways as a sum of consecutive naturals, for example, 42539 + ... + 43058.

It is an arithmetic number, because the mean of its divisors is an integer number (2097151).

Almost surely, 222255220 is an apocalyptic number.

22255220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22255220 is an abundant number, since it is smaller than the sum of its proper divisors (28076404).

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

22255220 is a wasteful number, since it uses less digits than its factorization.

22255220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85619 (or 85617 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 22255220 is about 4717.5438524724. The cubic root of 22255220 is about 281.2833099642.

The spelling of 22255220 in words is "twenty-two million, two hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 85597 171194 342388 427985 855970 1112761 1711940 2225522 4451044 5563805 11127610 22255220