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2241220023 = 34741229421
BaseRepresentation
bin1000010110010110…
…0100110110110111
312210012020202220000
42011211210312313
514042223020043
61010221042343
7106353025110
oct20545446667
95705222800
102241220023
11a50123859
125266b63b3
132994345c3
1417392b207
15d1b602d3
hex85964db7

2241220023 has 80 divisors (see below), whose sum is σ = 3946071360. Its totient is φ = 1241049600.

The previous prime is 2241219979. The next prime is 2241220049. The reversal of 2241220023 is 3200221422.

It is not a de Polignac number, because 2241220023 - 28 = 2241219767 is a prime.

It is a super-2 number, since 2×22412200232 = 10046134382992241058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2241219978 and 2241220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249220023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5323353 + ... + 5323773.

It is an arithmetic number, because the mean of its divisors is an integer number (49325892).

Almost surely, 22241220023 is an apocalyptic number.

2241220023 is a deficient number, since it is larger than the sum of its proper divisors (1704851337).

2241220023 is a wasteful number, since it uses less digits than its factorization.

2241220023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2241220023 is about 47341.5253556537. The cubic root of 2241220023 is about 1308.6640271601.

Adding to 2241220023 its reverse (3200221422), we get a palindrome (5441441445).

The spelling of 2241220023 in words is "two billion, two hundred forty-one million, two hundred twenty thousand, twenty-three".

Divisors: 1 3 7 9 21 27 41 63 81 123 189 229 287 369 421 567 687 861 1107 1263 1603 2061 2583 2947 3321 3789 4809 6183 7749 8841 9389 11367 14427 17261 18549 23247 26523 28167 34101 43281 51783 65723 79569 84501 96409 120827 129843 155349 197169 238707 253503 289227 362481 466047 591507 674863 760509 867681 1087443 1398141 1774521 2024589 2603043 3262329 3952769 5323563 6073767 7809129 9786987 11858307 18221301 27669383 35574921 54663903 83008149 106724763 249024447 320174289 747073341 2241220023