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223365206016 = 21234673241
BaseRepresentation
bin1101000000000110011…
…0101001000000000000
3210100112201001010120000
43100001212221000000
512124422443043031
6250340151320000
722065124632111
oct3200146510000
9710481033500
10223365206016
1186801921317
1237358680000
13180a8c59874
14ab4d2b8208
155c248733e6
hex34019a9000

223365206016 has 130 divisors (see below), whose sum is σ = 667257551862. Its totient is φ = 74454958080.

The previous prime is 223365205967. The next prime is 223365206059. The reversal of 223365206016 is 610602563322.

223365206016 is a `hidden beast` number, since 2 + 23 + 3 + 6 + 5 + 20 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 223086182400 + 279023616 = 472320^2 + 16704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4845 + ... + 668396.

Almost surely, 2223365206016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223365206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333628775931).

223365206016 is an abundant number, since it is smaller than the sum of its proper divisors (443892345846).

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

223365206016 is an frugal number, since it uses more digits than its factorization.

223365206016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673277 (or 673246 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 223365206016 its reverse (610602563322), we get a palindrome (833967769338).

The spelling of 223365206016 in words is "two hundred twenty-three billion, three hundred sixty-five million, two hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 9216 10368 12288 13824 18432 20736 27648 36864 41472 55296 82944 110592 165888 331776 673241 1346482 2019723 2692964 4039446 5385928 6059169 8078892 10771856 12118338 16157784 18177507 21543712 24236676 32315568 36355014 43087424 48473352 54532521 64631136 72710028 86174848 96946704 109065042 129262272 145420056 172349696 193893408 218130084 258524544 290840112 344699392 387786816 436260168 517049088 581680224 689398784 775573632 872520336 1034098176 1163360448 1378797568 1551147264 1745040672 2068196352 2326720896 2757595136 3102294528 3490081344 4136392704 4653441792 6204589056 6980162688 8272785408 9306883584 12409178112 13960325376 18613767168 24818356224 27920650752 37227534336 55841301504 74455068672 111682603008 223365206016