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223205325 = 35271789281
BaseRepresentation
bin11010100110111…
…01011111001101
3120120000000010220
431103131133031
5424120032300
634052021553
75350133250
oct1523353715
9516000126
10223205325
11104aa2512
12629018b9
1337320675
1421903097
15148deda0
hexd4dd7cd

223205325 has 96 divisors (see below), whose sum is σ = 453185280. Its totient is φ = 94617600.

The previous prime is 223205309. The next prime is 223205347. The reversal of 223205325 is 523502322.

It is not a de Polignac number, because 223205325 - 24 = 223205309 is a prime.

It is a super-3 number, since 3×2232053253 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223205295 and 223205304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 794185 + ... + 794465.

It is an arithmetic number, because the mean of its divisors is an integer number (4720680).

Almost surely, 2223205325 is an apocalyptic number.

223205325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

223205325 is an abundant number, since it is smaller than the sum of its proper divisors (229979955).

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

223205325 is a wasteful number, since it uses less digits than its factorization.

223205325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 223205325 is about 14940.0577308122. The cubic root of 223205325 is about 606.5987584832.

Adding to 223205325 its reverse (523502322), we get a palindrome (746707647).

The spelling of 223205325 in words is "two hundred twenty-three million, two hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 89 105 119 175 255 267 281 357 425 445 525 595 623 843 1275 1335 1405 1513 1785 1869 1967 2225 2975 3115 4215 4539 4777 5901 6675 7025 7565 8925 9345 9835 10591 14331 15575 21075 22695 23885 25009 29505 31773 33439 37825 46725 49175 52955 71655 75027 100317 113475 119425 125045 147525 158865 167195 175063 264775 358275 375135 425153 501585 525189 625225 794325 835975 875315 1275459 1875675 2125765 2507925 2625945 2976071 4376575 6377295 8928213 10628825 13129725 14880355 31886475 44641065 74401775 223205325