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10233322114240 = 2651129129721839
BaseRepresentation
bin1001010011101010000110…
…0001111000110011000000
31100020021222210221201201001
42110322201201320303000
52320130320430123430
633433042343421344
72104222155525361
oct224724141706300
940207883851631
1010233322114240
113295a22607905
121193352a54854
13592cc8b95654
1427541c94db68
1512b2d39b13ca
hex94ea1878cc0

10233322114240 has 112 divisors (see below), whose sum is σ = 24409604419200. Its totient is φ = 4086362898432.

The previous prime is 10233322114207. The next prime is 10233322114247. The reversal of 10233322114240 is 4241122333201.

It is a super-2 number, since 2×102333221142402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10233322114199 and 10233322114208.

It is not an unprimeable number, because it can be changed into a prime (10233322114247) 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, 468569241 + ... + 468591079.

It is an arithmetic number, because the mean of its divisors is an integer number (217942896600).

Almost surely, 210233322114240 is an apocalyptic number.

10233322114240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233322114240 is an abundant number, since it is smaller than the sum of its proper divisors (14176282304960).

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

10233322114240 is a wasteful number, since it uses less digits than its factorization.

10233322114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24282 (or 24272 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10233322114240 its reverse (4241122333201), we get a palindrome (14474444447441).

The spelling of 10233322114240 in words is "ten trillion, two hundred thirty-three billion, three hundred twenty-two million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1129 1297 2258 2594 4516 5188 5645 6485 9032 10376 11290 12970 18064 20752 21839 22580 25940 36128 41504 43678 45160 51880 72256 83008 87356 90320 103760 109195 174712 180640 207520 218390 349424 361280 415040 436780 698848 873560 1397696 1464313 1747120 2928626 3494240 5857252 6988480 7321565 11714504 14643130 23429008 24656231 28325183 29286260 46858016 49312462 56650366 58572520 93716032 98624924 113300732 117145040 123281155 141625915 197249848 226601464 234290080 246562310 283251830 394499696 453202928 468580160 493124620 566503660 788999392 906405856 986249240 1133007320 1577998784 1812811712 1972498480 2266014640 3944996960 4532029280 7889993920 9064058560 31979131607 63958263214 127916526428 159895658035 255833052856 319791316070 511666105712 639582632140 1023332211424 1279165264280 2046664422848 2558330528560 5116661057120 10233322114240