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2242003401 = 3311171923371
BaseRepresentation
bin1000010110100010…
…0100000111001001
312210020201120111000
42011220210013021
514042423102101
61010245525213
7106362500031
oct20550440711
95706646430
102242003401
11a50609380
12526a13809
1329964a041
14173a928c1
15d1c67486
hex85a241c9

2242003401 has 64 divisors (see below), whose sum is σ = 4038681600. Its totient is φ = 1211500800.

The previous prime is 2242003399. The next prime is 2242003417. The reversal of 2242003401 is 1043002422.

It is not a de Polignac number, because 2242003401 - 21 = 2242003399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2242003441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84246 + ... + 107616.

It is an arithmetic number, because the mean of its divisors is an integer number (63104400).

Almost surely, 22242003401 is an apocalyptic number.

It is an amenable number.

2242003401 is a deficient number, since it is larger than the sum of its proper divisors (1796678199).

2242003401 is a wasteful number, since it uses less digits than its factorization.

2242003401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23427 (or 23421 counting only the distinct ones).

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

The square root of 2242003401 is about 47349.7983205842. The cubic root of 2242003401 is about 1308.8164826943.

Adding to 2242003401 its reverse (1043002422), we get a palindrome (3285005823).

The spelling of 2242003401 in words is "two billion, two hundred forty-two million, three thousand, four hundred one".

Divisors: 1 3 9 11 17 19 27 33 51 57 99 153 171 187 209 297 323 459 513 561 627 969 1683 1881 2907 3553 5049 5643 8721 10659 23371 31977 70113 95931 210339 257081 397307 444049 631017 771243 1191921 1332147 2313729 3575763 3996441 4370377 4884539 6941187 7548833 10727289 11989323 13111131 14653617 22646499 39333393 43960851 67939497 83037163 118000179 131882553 203818491 249111489 747334467 2242003401