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224112212320 = 25541250313649
BaseRepresentation
bin1101000010111000100…
…0001111100101100000
3210102110202122222120011
43100232020033211200
512132440211243240
6250542234254304
722122465242053
oct3205610174540
9712422588504
10224112212320
11870555571a7
1237526887394
1318197946829
14abc05aaa9a
155c6a22d6ea
hex342e20f960

224112212320 has 96 divisors (see below), whose sum is σ = 542635329600. Its totient is φ = 87417077760.

The previous prime is 224112212257. The next prime is 224112212327. The reversal of 224112212320 is 23212211422.

It is a junction number, because it is equal to n+sod(n) for n = 224112212291 and 224112212300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224112212327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16412856 + ... + 16426504.

It is an arithmetic number, because the mean of its divisors is an integer number (5652451350).

Almost surely, 2224112212320 is an apocalyptic number.

224112212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224112212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271317664800).

224112212320 is an abundant number, since it is smaller than the sum of its proper divisors (318523117280).

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

224112212320 is a wasteful number, since it uses less digits than its factorization.

224112212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16208 (or 16200 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 224112212320 its reverse (23212211422), we get a palindrome (247324423742).

The spelling of 224112212320 in words is "two hundred twenty-four billion, one hundred twelve million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 2503 3280 5006 6560 10012 12515 13649 20024 25030 27298 40048 50060 54596 68245 80096 100120 102623 109192 136490 200240 205246 218384 272980 400480 410492 436768 513115 545960 559609 820984 1026230 1091920 1119218 1641968 2052460 2183840 2238436 2798045 3283936 4104920 4476872 5596090 8209840 8953744 11192180 16419680 17907488 22384360 34163447 44768720 68326894 89537440 136653788 170817235 273307576 341634470 546615152 683268940 1093230304 1366537880 1400701327 2733075760 2801402654 5466151520 5602805308 7003506635 11205610616 14007013270 22411221232 28014026540 44822442464 56028053080 112056106160 224112212320