Search a number
-
+
2034222424224 = 25321189816919
BaseRepresentation
bin11101100110100001000…
…110101110000010100000
321012110200110101010110120
4131212201012232002200
5231312041420033344
64154301530200240
7266652633211434
oct35464106560240
97173613333416
102034222424224
11714788587711
1228a2b4b83080
13119a98656b33
14706579ca9c4
1537dac665219
hex1d9a11ae0a0

2034222424224 has 24 divisors (see below), whose sum is σ = 5339833863840. Its totient is φ = 678074141376.

The previous prime is 2034222424193. The next prime is 2034222424301. The reversal of 2034222424224 is 4224242224302.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10594908364 + ... + 10594908555.

It is an arithmetic number, because the mean of its divisors is an integer number (222493077660).

Almost surely, 22034222424224 is an apocalyptic number.

2034222424224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2034222424224 is an abundant number, since it is smaller than the sum of its proper divisors (3305611439616).

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

2034222424224 is a wasteful number, since it uses less digits than its factorization.

2034222424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21189816932 (or 21189816924 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 2034222424224 its reverse (4224242224302), we get a palindrome (6258464648526).

The spelling of 2034222424224 in words is "two trillion, thirty-four billion, two hundred twenty-two million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 21189816919 42379633838 63569450757 84759267676 127138901514 169518535352 254277803028 339037070704 508555606056 678074141408 1017111212112 2034222424224