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223031232 = 263514341
BaseRepresentation
bin11010100101100…
…10111111000000
3120112200011100000
431102302333000
5424043444412
634044200000
75345506554
oct1522627700
9515604300
10223031232
11104993736
1262839000
133728c358
1421899864
15148a84dc
hexd4b2fc0

223031232 has 84 divisors (see below), whose sum is σ = 663001976. Its totient is φ = 74338560.

The previous prime is 223031203. The next prime is 223031233. The reversal of 223031232 is 232130322.

It is a happy number.

223031232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223031233) 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, 8382 + ... + 22722.

Almost surely, 2223031232 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 223031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331500988).

223031232 is an abundant number, since it is smaller than the sum of its proper divisors (439970744).

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

223031232 is an equidigital number, since it uses as much as digits as its factorization.

223031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14368 (or 14346 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 223031232 is about 14934.2302111625. The cubic root of 223031232 is about 606.4410082658.

Adding to 223031232 its reverse (232130322), we get a palindrome (455161554).

The spelling of 223031232 in words is "two hundred twenty-three million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 14341 15552 28682 43023 57364 86046 114728 129069 172092 229456 258138 344184 387207 458912 516276 688368 774414 917824 1032552 1161621 1376736 1548828 2065104 2323242 2753472 3097656 3484863 4130208 4646484 6195312 6969726 8260416 9292968 12390624 13939452 18585936 24781248 27878904 37171872 55757808 74343744 111515616 223031232