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223012224 = 2733173373
BaseRepresentation
bin11010100101011…
…10010110000000
3120112122012021000
431102232112000
5424042342344
634043532000
75345400261
oct1522562600
9515565230
10223012224
11104980426
126282a000
13372837c6
1421892968
15148a2a69
hexd4ae580

223012224 has 128 divisors (see below), whose sum is σ = 663775200. Its totient is φ = 73709568.

The previous prime is 223012219. The next prime is 223012241. The reversal of 223012224 is 422210322.

223012224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 223012197 and 223012206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597702 + ... + 598074.

Almost surely, 2223012224 is an apocalyptic number.

223012224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331887600).

223012224 is an abundant number, since it is smaller than the sum of its proper divisors (440762976).

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

223012224 is a wasteful number, since it uses less digits than its factorization.

223012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 223012224 is about 14933.5938072522. The cubic root of 223012224 is about 606.4237796501.

Adding to 223012224 its reverse (422210322), we get a palindrome (645222546).

The spelling of 223012224 in words is "two hundred twenty-three million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 173 192 216 288 346 373 384 432 519 576 692 746 864 1038 1119 1152 1384 1492 1557 1728 2076 2238 2768 2984 3114 3357 3456 4152 4476 4671 5536 5968 6228 6714 8304 8952 9342 10071 11072 11936 12456 13428 16608 17904 18684 20142 22144 23872 24912 26856 33216 35808 37368 40284 47744 49824 53712 64529 66432 71616 74736 80568 99648 107424 129058 143232 149472 161136 193587 199296 214848 258116 298944 322272 387174 429696 516232 580761 597888 644544 774348 1032464 1161522 1289088 1548696 1742283 2064928 2323044 3097392 3484566 4129856 4646088 6194784 6969132 8259712 9292176 12389568 13938264 18584352 24779136 27876528 37168704 55753056 74337408 111506112 223012224