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224330123200430 = 251323294755045339
BaseRepresentation
bin110011000000011011101101…
…010011100100011110101110
31002102021202020222211102111102
4303000123231103210132232
5213400411043014403210
62113035500315323102
765152213402265042
oct6300335523443656
91072252228742442
10224330123200430
11655299642aa615
12211b0820450492
139823316c398a0
143d578c8c7c022
151ae051be01ea5
hexcc06ed4e47ae

224330123200430 has 128 divisors (see below), whose sum is σ = 479396471500800. Its totient is φ = 74868705483264.

The previous prime is 224330123200423. The next prime is 224330123200439. The reversal of 224330123200430 is 34002321033422.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 224330123200393 and 224330123200402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224330123200439) 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, 23447300 + ... + 31598039.

It is an arithmetic number, because the mean of its divisors is an integer number (3745284933600).

Almost surely, 2224330123200430 is an apocalyptic number.

224330123200430 is an abundant number, since it is smaller than the sum of its proper divisors (255066348300370).

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

224330123200430 is a wasteful number, since it uses less digits than its factorization.

224330123200430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55045458.

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 224330123200430 its reverse (34002321033422), we get a palindrome (258332444233852).

The spelling of 224330123200430 in words is "two hundred twenty-four trillion, three hundred thirty billion, one hundred twenty-three million, two hundred thousand, four hundred thirty".

Divisors: 1 2 5 10 13 23 26 29 46 47 58 65 94 115 130 145 230 235 290 299 377 470 598 611 667 754 1081 1222 1334 1363 1495 1885 2162 2726 2990 3055 3335 3770 5405 6110 6670 6815 8671 10810 13630 14053 17342 17719 28106 31349 35438 43355 62698 70265 86710 88595 140530 156745 177190 313490 407537 815074 2037685 4075370 55045339 110090678 275226695 550453390 715589407 1266042797 1431178814 1596314831 2532085594 2587130933 3192629662 3577947035 5174261866 6330213985 7155894070 7981574155 12660427970 12935654665 15963148310 16458556361 20752092803 25871309330 32917112722 33632702129 36715241113 41504185606 59504011459 67265404258 73430482226 75026797057 82292781805 103760464015 119008022918 150053594114 164585563610 168163510645 183576205565 207520928030 297520057295 336327021290 367152411130 375133985285 477298134469 595040114590 750267970570 773552148967 954596268938 975348361741 1547104297934 1725616332311 1950696723482 2386490672345 3451232664622 3867760744835 4772981344690 4876741808705 7735521489670 8628081661555 9753483617410 17256163323110 22433012320043 44866024640086 112165061600215 224330123200430