Search a number
-
+
2033004214302 = 2337107191448093
BaseRepresentation
bin11101100101011000011…
…111100111100000011110
321012100112120002122121120
4131211120133213200132
5231302043034324202
64153541011511410
7266610511461135
oct35453037474036
97170476078546
102033004214302
11714212973556
1228a014bb8566
13119933157c69
147057dcba91c
1537d3a72e0bc
hex1d9587e781e

2033004214302 has 64 divisors (see below), whose sum is σ = 4237004795904. Its totient is φ = 649769247360.

The previous prime is 2033004214291. The next prime is 2033004214303. The reversal of 2033004214302 is 2034124003302.

It is a super-2 number, since 2×20330042143022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033004214303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4312968 + ... + 4761060.

It is an arithmetic number, because the mean of its divisors is an integer number (66203199936).

Almost surely, 22033004214302 is an apocalyptic number.

2033004214302 is an abundant number, since it is smaller than the sum of its proper divisors (2204000581602).

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

2033004214302 is a wasteful number, since it uses less digits than its factorization.

2033004214302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448433.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2033004214302 its reverse (2034124003302), we get a palindrome (4067128217604).

The spelling of 2033004214302 in words is "two trillion, thirty-three billion, four million, two hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 37 74 107 111 191 214 222 321 382 573 642 1146 3959 7067 7918 11877 14134 20437 21201 23754 40874 42402 61311 122622 448093 756169 896186 1344279 1512338 2268507 2688558 4537014 16579441 33158882 47945951 49738323 85585763 95891902 99476646 143837853 171171526 256757289 287675706 513514578 1774000187 3166673231 3548000374 5322000561 6333346462 9157676641 9500019693 10644001122 18315353282 19000039386 27473029923 54946059846 338834035717 677668071434 1016502107151 2033004214302