Search a number
-
+
2122200414024 = 233175201471603
BaseRepresentation
bin11110111000011101000…
…000000111011101001000
321111212202210111002001020
4132320131000013131020
5234232231301222044
64302531515552440
7306216050612505
oct36703500073510
97455683432036
102122200414024
11749024898599
122a336875b720
13125179596672
1474a021404ac
153a30b232a19
hex1ee1d007748

2122200414024 has 32 divisors (see below), whose sum is σ = 5617589332320. Its totient is φ = 665788365056.

The previous prime is 2122200414013. The next prime is 2122200414071. The reversal of 2122200414024 is 4204140022212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2122200413985 and 2122200414003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2600735394 + ... + 2600736209.

It is an arithmetic number, because the mean of its divisors is an integer number (175549666635).

Almost surely, 22122200414024 is an apocalyptic number.

2122200414024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2122200414024 is an abundant number, since it is smaller than the sum of its proper divisors (3495388918296).

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

2122200414024 is a wasteful number, since it uses less digits than its factorization.

2122200414024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201471629 (or 5201471625 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2122200414024 its reverse (4204140022212), we get a palindrome (6326340436236).

The spelling of 2122200414024 in words is "two trillion, one hundred twenty-two billion, two hundred million, four hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 5201471603 10402943206 15604414809 20805886412 31208829618 41611772824 62417659236 88425017251 124835318472 176850034502 265275051753 353700069004 530550103506 707400138008 1061100207012 2122200414024