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223010320 = 24513214433
BaseRepresentation
bin11010100101011…
…01111000010000
3120112122002122111
431102231320100
5424042312240
634043515104
75345361601
oct1522557020
9515562574
10223010320
11104979a55
1262828a94
1337282990
1421891da8
15148a21ea
hexd4ade10

223010320 has 40 divisors (see below), whose sum is σ = 558386136. Its totient is φ = 82341888.

The previous prime is 223010317. The next prime is 223010351. The reversal of 223010320 is 23010322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51609856 + 171400464 = 7184^2 + 13092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 223010320.

It is an unprimeable number.

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, 106177 + ... + 108256.

Almost surely, 2223010320 is an apocalyptic number.

223010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223010320 is an abundant number, since it is smaller than the sum of its proper divisors (335375816).

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

223010320 is a wasteful number, since it uses less digits than its factorization.

223010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214459 (or 214453 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 223010320 is about 14933.5300582280. The cubic root of 223010320 is about 606.4220538341.

Adding to 223010320 its reverse (23010322), we get a palindrome (246020642).

The spelling of 223010320 in words is "two hundred twenty-three million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 214433 428866 857732 1072165 1715464 2144330 2787629 3430928 4288660 5575258 8577320 11150516 13938145 17154640 22301032 27876290 44602064 55752580 111505160 223010320