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22434440200 = 2352112172201
BaseRepresentation
bin10100111001001100…
…100110010000001000
32010220111100122101121
4110321030212100020
5331421204041300
614150051525024
71422642411124
oct247114462010
963814318347
1022434440200
119572724a77
1244212b9774
132166b615b3
14112b74c584
158b484681a
hex539326408

22434440200 has 24 divisors (see below), whose sum is σ = 52160073930. Its totient is φ = 8973776000.

The previous prime is 22434440153. The next prime is 22434440207. The reversal of 22434440200 is 204443422.

It can be written as a sum of positive squares in 3 ways, for example, as 19746432484 + 2688007716 = 140522^2 + 51846^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22434440207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56085901 + ... + 56086300.

Almost surely, 222434440200 is an apocalyptic number.

22434440200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22434440200 is an abundant number, since it is smaller than the sum of its proper divisors (29725633730).

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

22434440200 is a wasteful number, since it uses less digits than its factorization.

22434440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112172217 (or 112172208 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 22434440200 its reverse (204443422), we get a palindrome (22638883622).

The spelling of 22434440200 in words is "twenty-two billion, four hundred thirty-four million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 112172201 224344402 448688804 560861005 897377608 1121722010 2243444020 2804305025 4486888040 5608610050 11217220100 22434440200