Search a number
-
+
2033022144 = 26325741201
BaseRepresentation
bin111100100101101…
…0111010011000000
312020200111020002110
41321023113103000
513130423202034
6533422415320
7101244255156
oct17113272300
95220436073
102033022144
1195365169a
12488a31540
13265269aaa
141540133d6
15bd736de9
hex792d74c0

2033022144 has 56 divisors (see below), whose sum is σ = 5400098928. Its totient is φ = 675020800.

The previous prime is 2033022139. The next prime is 2033022151. The reversal of 2033022144 is 4412203302.

It is a self number, because there is not a number n which added to its sum of digits gives 2033022144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28744 + ... + 69944.

It is an arithmetic number, because the mean of its divisors is an integer number (96430338).

Almost surely, 22033022144 is an apocalyptic number.

2033022144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700049464).

2033022144 is an abundant number, since it is smaller than the sum of its proper divisors (3367076784).

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

2033022144 is a wasteful number, since it uses less digits than its factorization.

2033022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41473 (or 41463 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2033022144 is about 45089.0468295794. The cubic root of 2033022144 is about 1266.8174481017.

Adding to 2033022144 its reverse (4412203302), we get a palindrome (6445225446).

The spelling of 2033022144 in words is "two billion, thirty-three million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 16448 24672 41201 49344 82402 123603 164804 247206 329608 494412 659216 988824 1318432 1977648 2636864 3955296 7910592 10588657 21177314 31765971 42354628 63531942 84709256 127063884 169418512 254127768 338837024 508255536 677674048 1016511072 2033022144