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221324125 = 5311214633
BaseRepresentation
bin11010011000100…
…10001101011101
3120102110102121211
431030102031131
5423124333000
633543424421
75325136561
oct1514221535
9512412554
10221324125
11103a28100
1262155111
1336b12329
14215736a1
151466c7ba
hexd31235d

221324125 has 24 divisors (see below), whose sum is σ = 303626232. Its totient is φ = 160952000.

The previous prime is 221324119. The next prime is 221324161. The reversal of 221324125 is 521423122.

It is a happy number.

221324125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65723449 + 155600676 = 8107^2 + 12474^2 .

It is not a de Polignac number, because 221324125 - 25 = 221324093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221324096 and 221324105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7809 + ... + 22441.

It is an arithmetic number, because the mean of its divisors is an integer number (12651093).

Almost surely, 2221324125 is an apocalyptic number.

221324125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221324125 is a deficient number, since it is larger than the sum of its proper divisors (82302107).

221324125 is a wasteful number, since it uses less digits than its factorization.

221324125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14670 (or 14649 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 221324125 is about 14876.9662565995. The cubic root of 221324125 is about 604.8897870863.

Adding to 221324125 its reverse (521423122), we get a palindrome (742747247).

The spelling of 221324125 in words is "two hundred twenty-one million, three hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 1375 3025 14633 15125 73165 160963 365825 804815 1770593 1829125 4024075 8852965 20120375 44264825 221324125