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223102125 = 3253198313
BaseRepresentation
bin11010100110001…
…00010010101101
3120112210202120200
431103010102231
5424103232000
634045504113
75346223341
oct1523042255
9515722520
10223102125
11104a31a24
1262872039
13372b56bc
14218b7621
15148be500
hexd4c44ad

223102125 has 24 divisors (see below), whose sum is σ = 402180792. Its totient is φ = 118987200.

The previous prime is 223102109. The next prime is 223102127. The reversal of 223102125 is 521201322.

It can be written as a sum of positive squares in 4 ways, for example, as 2223081 + 220879044 = 1491^2 + 14862^2 .

It is not a de Polignac number, because 223102125 - 24 = 223102109 is a prime.

It is a super-3 number, since 3×2231021253 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223102098 and 223102107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223102127) 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 23 ways as a sum of consecutive naturals, for example, 98032 + ... + 100281.

It is an arithmetic number, because the mean of its divisors is an integer number (16757533).

Almost surely, 2223102125 is an apocalyptic number.

223102125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

223102125 is a deficient number, since it is larger than the sum of its proper divisors (179078667).

223102125 is a wasteful number, since it uses less digits than its factorization.

223102125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198334 (or 198321 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 223102125 is about 14936.6035295846. The cubic root of 223102125 is about 606.5052561705.

Adding to 223102125 its reverse (521201322), we get a palindrome (744303447).

The spelling of 223102125 in words is "two hundred twenty-three million, one hundred two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 198313 594939 991565 1784817 2974695 4957825 8924085 14873475 24789125 44620425 74367375 223102125