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4224330 = 23251117251
BaseRepresentation
bin10000000111010101001010
321221121200200
4100013111022
52040134310
6230313030
750622555
oct20072512
97847620
104224330
112425890
1214b8776
13b4ba06
147bd69c
155869c0
hex40754a

4224330 has 96 divisors (see below), whose sum is σ = 12737088. Its totient is φ = 960000.

The previous prime is 4224317. The next prime is 4224331. The reversal of 4224330 is 334224.

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

It is a d-powerful number, because it can be written as 47 + 23 + 29 + 411 + 38 + 38 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16705 + ... + 16955.

It is an arithmetic number, because the mean of its divisors is an integer number (132678).

Almost surely, 24224330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544).

4224330 is an abundant number, since it is smaller than the sum of its proper divisors (8512758).

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

4224330 is a wasteful number, since it uses less digits than its factorization.

4224330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4224330 is about 2055.3174937221. The cubic root of 4224330 is about 161.6538103403.

Adding to 4224330 its reverse (334224), we get a palindrome (4558554).

It can be divided in two parts, 4224 and 330, that added together give a palindrome (4554).

The spelling of 4224330 in words is "four million, two hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 251 255 306 330 374 495 502 510 561 753 765 935 990 1122 1255 1506 1530 1683 1870 2259 2510 2761 2805 3366 3765 4267 4518 5522 5610 7530 8283 8415 8534 11295 12801 13805 16566 16830 21335 22590 24849 25602 27610 38403 41415 42670 46937 49698 64005 76806 82830 93874 124245 128010 140811 192015 234685 248490 281622 384030 422433 469370 704055 844866 1408110 2112165 4224330