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223112052 = 223223467577
BaseRepresentation
bin11010100110001…
…10101101110100
3120112211021012100
431103012231310
5424104041202
634050022100
75346264312
oct1523065564
9515737170
10223112052
11104a39429
1262877930
13372ba087
14218bb0b2
15148c241c
hexd4c6b74

223112052 has 72 divisors (see below), whose sum is σ = 590780736. Its totient is φ = 70861824.

The previous prime is 223112039. The next prime is 223112083. The reversal of 223112052 is 250211322.

It is a super-3 number, since 3×2231120523 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 386388 + ... + 386964.

It is an arithmetic number, because the mean of its divisors is an integer number (8205288).

Almost surely, 2223112052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223112052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295390368).

223112052 is an abundant number, since it is smaller than the sum of its proper divisors (367668684).

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

223112052 is a wasteful number, since it uses less digits than its factorization.

223112052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1072 counting only the distinct ones).

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

The square root of 223112052 is about 14936.9358303502. The cubic root of 223112052 is about 606.5142515851.

Adding to 223112052 its reverse (250211322), we get a palindrome (473323374).

The spelling of 223112052 in words is "two hundred twenty-three million, one hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 467 577 828 934 1154 1401 1731 1868 2308 2802 3462 4203 5193 5604 6924 8406 10386 10741 13271 16812 20772 21482 26542 32223 39813 42964 53084 64446 79626 96669 119439 128892 159252 193338 238878 269459 386676 477756 538918 808377 1077836 1616754 2425131 3233508 4850262 6197557 9700524 12395114 18592671 24790228 37185342 55778013 74370684 111556026 223112052