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221224212 = 22321123107227
BaseRepresentation
bin11010010111110…
…01110100010100
3120102021100120100
431023321310110
5423113133322
633541334100
75324242356
oct1513716424
9512240510
10221224212
1110396a030
1262107330
1336aa8a01
14215490d6
151464cdac
hexd2f9d14

221224212 has 144 divisors (see below), whose sum is σ = 645345792. Its totient is φ = 63243840.

The previous prime is 221224193. The next prime is 221224231. The reversal of 221224212 is 212422122.

221224212 is a `hidden beast` number, since 221 + 22 + 421 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (221224193) and next prime (221224231).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974443 + ... + 974669.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2221224212 is an apocalyptic number.

221224212 is a gapful number since it is divisible by the number (22) 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 221224212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322672896).

221224212 is an abundant number, since it is smaller than the sum of its proper divisors (424121580).

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

221224212 is a wasteful number, since it uses less digits than its factorization.

221224212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 373 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 221224212 is about 14873.6079012457. The cubic root of 221224212 is about 604.7987509947.

Adding to 221224212 its reverse (212422122), we get a palindrome (433646334).

The spelling of 221224212 in words is "two hundred twenty-one million, two hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 107 132 138 198 207 214 227 253 276 321 396 414 428 454 506 642 681 759 828 908 963 1012 1177 1284 1362 1518 1926 2043 2277 2354 2461 2497 2724 3036 3531 3852 4086 4554 4708 4922 4994 5221 7062 7383 7491 8172 9108 9844 9988 10442 10593 14124 14766 14982 15663 20884 21186 22149 22473 24289 27071 29532 29964 31326 42372 44298 44946 46989 48578 54142 57431 62652 72867 81213 88596 89892 93978 97156 108284 114862 145734 162426 172293 187956 218601 229724 243639 267179 291468 324852 344586 437202 487278 516879 534358 558647 689172 801537 874404 974556 1033758 1068716 1117294 1603074 1675941 2067516 2234588 2404611 3206148 3351882 4809222 5027823 6145117 6703764 9618444 10055646 12290234 18435351 20111292 24580468 36870702 55306053 73741404 110612106 221224212