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224631330 = 235711472069
BaseRepresentation
bin11010110001110…
…01101000100010
3120122200110020220
431120321220202
5430001200310
634142343510
75365222560
oct1530715042
9518613226
10224631330
11105886930
126328ab96
13376cc761
1421b94a30
1514ac2670
hexd639a22

224631330 has 128 divisors (see below), whose sum is σ = 686776320. Its totient is φ = 45661440.

The previous prime is 224631313. The next prime is 224631359. The reversal of 224631330 is 33136422.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 224631330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107536 + ... + 109604.

It is an arithmetic number, because the mean of its divisors is an integer number (5365440).

Almost surely, 2224631330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224631330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343388160).

224631330 is an abundant number, since it is smaller than the sum of its proper divisors (462144990).

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

224631330 is a wasteful number, since it uses less digits than its factorization.

224631330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 224631330 is about 14987.7059618876. The cubic root of 224631330 is about 607.8878215967.

Adding to 224631330 its reverse (33136422), we get a palindrome (257767752).

The spelling of 224631330 in words is "two hundred twenty-four million, six hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 47 55 66 70 77 94 105 110 141 154 165 210 231 235 282 329 330 385 462 470 517 658 705 770 987 1034 1155 1410 1551 1645 1974 2069 2310 2585 3102 3290 3619 4138 4935 5170 6207 7238 7755 9870 10345 10857 12414 14483 15510 18095 20690 21714 22759 28966 31035 36190 43449 45518 54285 62070 68277 72415 86898 97243 108570 113795 136554 144830 159313 194486 217245 227590 291729 318626 341385 434490 477939 486215 583458 680701 682770 796565 955878 972430 1069673 1361402 1458645 1593130 2042103 2139346 2389695 2917290 3209019 3403505 4084206 4779390 5348365 6418038 6807010 7487711 10210515 10696730 14975422 16045095 20421030 22463133 32090190 37438555 44926266 74877110 112315665 224631330