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332220230112300 = 223529712547909899
BaseRepresentation
bin100101110001001110000110…
…0110011011001010000101100
31121120021221111001022001210020
41023202130030303121100230
5322021044012402043200
63134323511120042140
7126656056001556525
oct11342341463312054
91546257431261706
10332220230112300
1196945898a31332
123131660aa63350
131134b30567063a
145c0778b41984c
152861c25b0bea0
hex12e270ccd942c

332220230112300 has 144 divisors (see below), whose sum is σ = 971211857212800. Its totient is φ = 87671656765440.

The previous prime is 332220230112289. The next prime is 332220230112307. The reversal of 332220230112300 is 3211032022233.

It is a super-2 number, since 2×3322202301123002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332220230112307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364662751 + ... + 365572649.

It is an arithmetic number, because the mean of its divisors is an integer number (6744526786200).

Almost surely, 2332220230112300 is an apocalyptic number.

332220230112300 is a gapful number since it is divisible by the number (30) 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 332220230112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485605928606400).

332220230112300 is an abundant number, since it is smaller than the sum of its proper divisors (638991627100500).

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

332220230112300 is a wasteful number, since it uses less digits than its factorization.

332220230112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922560 (or 922553 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 332220230112300 its reverse (3211032022233), we get a palindrome (335431262134533).

The spelling of 332220230112300 in words is "three hundred thirty-two trillion, two hundred twenty billion, two hundred thirty million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1940 2425 2910 4850 5820 7275 9700 12547 14550 25094 29100 37641 50188 62735 75282 125470 150564 188205 250940 313675 376410 627350 752820 909899 941025 1217059 1254700 1819798 1882050 2434118 2729697 3639596 3651177 3764100 4549495 4868236 5459394 6085295 7302354 9098990 10918788 12170590 13648485 14604708 18197980 18255885 22747475 24341180 27296970 30426475 36511770 45494950 54593940 60852950 68242425 73023540 88260203 90989900 91279425 121705900 136484850 176520406 182558850 264780609 272969700 353040812 365117700 441301015 529561218 882602030 1059122436 1323903045 1765204060 2206505075 2647806090 4413010150 5295612180 6619515225 8826020300 11416502753 13239030450 22833005506 26478060900 34249508259 45666011012 57082513765 68499016518 114165027530 136998033036 171247541295 228330055060 285412568825 342495082590 570825137650 684990165180 856237706475 1107400767041 1141650275300 1712475412950 2214801534082 3322202301123 3424950825900 4429603068164 5537003835205 6644404602246 11074007670410 13288809204492 16611011505615 22148015340820 27685019176025 33222023011230 55370038352050 66444046022460 83055057528075 110740076704100 166110115056150 332220230112300