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2224105230 = 2351931191659
BaseRepresentation
bin1000010010010001…
…0010011100001110
312202000001020210210
42010210102130032
514023332331410
61004410143250
7106054403544
oct20444223416
95660036723
102224105230
11a414a41a6
12520a21b26
13295a214c9
14171553d94
15d03ce220
hex8491270e

2224105230 has 128 divisors (see below), whose sum is σ = 5839257600. Its totient is φ = 540086400.

The previous prime is 2224105193. The next prime is 2224105231. The reversal of 2224105230 is 325014222.

It is a super-2 number, since 2×22241052302 = 9893288148226705800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2224105197 and 2224105206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224105231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3374641 + ... + 3375299.

It is an arithmetic number, because the mean of its divisors is an integer number (45619200).

Almost surely, 22224105230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224105230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919628800).

2224105230 is an abundant number, since it is smaller than the sum of its proper divisors (3615152370).

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

2224105230 is a wasteful number, since it uses less digits than its factorization.

2224105230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2224105230 is about 47160.4201635227. The cubic root of 2224105230 is about 1305.3243626418.

Adding to 2224105230 its reverse (325014222), we get a palindrome (2549119452).

The spelling of 2224105230 in words is "two billion, two hundred twenty-four million, one hundred five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 191 285 310 382 465 570 573 589 659 930 955 1146 1178 1318 1767 1910 1977 2865 2945 3295 3534 3629 3954 5730 5890 5921 6590 7258 8835 9885 10887 11842 12521 17670 17763 18145 19770 20429 21774 25042 29605 35526 36290 37563 40858 54435 59210 61287 62605 75126 88815 102145 108870 112499 122574 125210 125869 177630 187815 204290 224998 251738 306435 337497 375630 377607 388151 562495 612870 629345 674994 755214 776302 1124990 1164453 1258690 1687485 1888035 1940755 2328906 2391511 3374970 3776070 3881510 3901939 4783022 5822265 7174533 7803878 11644530 11705817 11957555 14349066 19509695 23411634 23915110 35872665 39019390 58529085 71745330 74136841 117058170 148273682 222410523 370684205 444821046 741368410 1112052615 2224105230