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200222130202032 = 24323613797844657
BaseRepresentation
bin101101100001100111011000…
…111100100110010110110000
3222020221001022111210111011010
4231201213120330212112300
5202220414410312431112
61545500435442350520
760113400016012131
oct5541473074462660
9866831274714133
10200222130202032
115888480179a914
121a55848235b440
138794b343b9753
143762b34c99c88
1518233852b063c
hexb619d8f265b0

200222130202032 has 160 divisors (see below), whose sum is σ = 550024744020480. Its totient is φ = 62626712924160.

The previous prime is 200222130201983. The next prime is 200222130202111. The reversal of 200222130202032 is 230202031222002.

200222130202032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21601048 + ... + 29445704.

It is an arithmetic number, because the mean of its divisors is an integer number (3437654650128).

Almost surely, 2200222130202032 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 200222130202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275012372010240).

200222130202032 is an abundant number, since it is smaller than the sum of its proper divisors (349802613818448).

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

200222130202032 is a wasteful number, since it uses less digits than its factorization.

200222130202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7845131 (or 7845125 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 200222130202032 its reverse (230202031222002), we get a palindrome (430424161424034).

The spelling of 200222130202032 in words is "two hundred trillion, two hundred twenty-two billion, one hundred thirty million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 61 69 92 122 138 183 184 244 276 366 368 379 488 552 732 758 976 1104 1137 1403 1464 1516 2274 2806 2928 3032 4209 4548 5612 6064 8418 8717 9096 11224 16836 17434 18192 22448 23119 26151 33672 34868 46238 52302 67344 69357 69736 92476 104604 138714 139472 184952 209208 277428 369904 418416 531737 554856 1063474 1109712 1595211 2126948 3190422 4253896 6380844 7844657 8507792 12761688 15689314 23533971 25523376 31378628 47067942 62757256 94135884 125514512 180427111 188271768 360854222 376543536 478524077 541281333 721708444 957048154 1082562666 1435572231 1443416888 1914096308 2165125332 2871144462 2886833776 2973125003 3828192616 4330250664 5742288924 5946250006 7656385232 8660501328 8919375009 11006053771 11484577848 11892500012 17838750018 22012107542 22969155696 23785000024 33018161313 35677500036 44024215084 47570000048 66036322626 68381875069 71355000072 88048430168 132072645252 136763750138 142710000144 176096860336 181360625183 205145625207 264145290504 273527500276 362721250366 410291250414 528290581008 544081875549 547055000552 725442500732 820582500828 1088163751098 1094110001104 1450885001464 1641165001656 2176327502196 2901770002928 3282330003312 4171294379209 4352655004392 8342588758418 8705310008784 12513883137627 16685177516836 25027766275254 33370355033672 50055532550508 66740710067344 100111065101016 200222130202032