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223252344 = 23327442961
BaseRepresentation
bin11010100111010…
…00111101111000
3120120002101122100
431103220331320
5424123033334
634053023400
75350420320
oct1523507570
9516071570
10223252344
11105024877
1262924b60
1337338ba3
1421916280
15148edc99
hexd4e8f78

223252344 has 48 divisors (see below), whose sum is σ = 691020720. Its totient is φ = 63786240.

The previous prime is 223252343. The next prime is 223252361. The reversal of 223252344 is 443252322.

It is a happy number.

It is a super-3 number, since 3×2232523443 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223252343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220977 + ... + 221984.

It is an arithmetic number, because the mean of its divisors is an integer number (14396265).

Almost surely, 2223252344 is an apocalyptic number.

223252344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223252344 is an abundant number, since it is smaller than the sum of its proper divisors (467768376).

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

223252344 is a wasteful number, since it uses less digits than its factorization.

223252344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442980 (or 442973 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 223252344 is about 14941.6312362473. The cubic root of 223252344 is about 606.6413495587.

The spelling of 223252344 in words is "two hundred twenty-three million, two hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 442961 885922 1328883 1771844 2657766 3100727 3543688 3986649 5315532 6201454 7973298 9302181 10631064 12402908 15946596 18604362 24805816 27906543 31893192 37208724 55813086 74417448 111626172 223252344