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223112412 = 223267233397
BaseRepresentation
bin11010100110001…
…10110011011100
3120112211021200200
431103012303130
5424104044122
634050023500
75346265335
oct1523066334
9515737620
10223112412
11104a39726
1262877b90
13372ba2a3
14218bb28c
15148c25ac
hexd4c6cdc

223112412 has 72 divisors (see below), whose sum is σ = 576300816. Its totient is φ = 72762624.

The previous prime is 223112401. The next prime is 223112413. The reversal of 223112412 is 214211322.

It is a happy number.

223112412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231124123 (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223112413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561798 + ... + 562194.

It is an arithmetic number, because the mean of its divisors is an integer number (8004178).

Almost surely, 2223112412 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 223112412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288150408).

223112412 is an abundant number, since it is smaller than the sum of its proper divisors (353188404).

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

223112412 is a wasteful number, since it uses less digits than its factorization.

223112412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 702 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 223112412 is about 14936.9478810097. The cubic root of 223112412 is about 606.5145777964.

Adding to 223112412 its reverse (214211322), we get a palindrome (437323734).

The spelling of 223112412 in words is "two hundred twenty-three million, one hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 233 268 397 402 466 603 699 794 804 932 1191 1206 1398 1588 2097 2382 2412 2796 3573 4194 4764 7146 8388 14292 15611 26599 31222 46833 53198 62444 79797 92501 93666 106396 140499 159594 185002 187332 239391 277503 280998 319188 370004 478782 555006 561996 832509 957564 1110012 1665018 3330036 6197567 12395134 18592701 24790268 37185402 55778103 74370804 111556206 223112412