Search a number
-
+
224314230030 = 235112393731541
BaseRepresentation
bin1101000011101000101…
…0111000010100001110
3210102222211210112202120
43100322022320110032
512133343420330110
6251014252233410
722130500332012
oct3207212702416
9712884715676
10224314230030
1187149598090
123758246b866
13181ca759337
14abdd356542
155c7cd35870
hex343a2b850e

224314230030 has 128 divisors (see below), whose sum is σ = 613503507456. Its totient is φ = 51957734400.

The previous prime is 224314230029. The next prime is 224314230047. The reversal of 224314230030 is 30032413422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7096060 + ... + 7127600.

It is an arithmetic number, because the mean of its divisors is an integer number (4792996152).

Almost surely, 2224314230030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224314230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306751753728).

224314230030 is an abundant number, since it is smaller than the sum of its proper divisors (389189277426).

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

224314230030 is a wasteful number, since it uses less digits than its factorization.

224314230030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32522.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 224314230030 its reverse (30032413422), we get a palindrome (254346643452).

The spelling of 224314230030 in words is "two hundred twenty-four billion, three hundred fourteen million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 937 1265 1518 1874 2530 2811 3795 4685 5622 7590 9370 10307 14055 20614 21551 28110 30921 31541 43102 51535 61842 63082 64653 94623 103070 107755 129306 154605 157705 189246 215510 237061 309210 315410 323265 346951 473115 474122 646530 693902 711183 725443 946230 1040853 1185305 1422366 1450886 1734755 2081706 2176329 2370610 3469510 3555915 3627215 4352658 5204265 7111830 7254430 7979873 10408530 10881645 15959746 21763290 23939619 29553917 39899365 47879238 59107834 79798730 88661751 119698095 147769585 177323502 239396190 295539170 325093087 443308755 650186174 679740091 886617510 975279261 1359480182 1625465435 1950558522 2039220273 3250930870 3398700455 4078440546 4876396305 6797400910 7477141001 9752792610 10196101365 14954282002 20392202730 22431423003 37385705005 44862846006 74771410010 112157115015 224314230030