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22142140433 = 721797274033
BaseRepresentation
bin10100100111110001…
…100100000000010001
32010011010100021111022
4110213301210000101
5330321341443213
614101050525225
71412463042200
oct244761440021
963133307438
1022142140433
11943272a916
12435b436815
13211b42b65a
1411009c1237
15898d59308
hex527c64011

22142140433 has 24 divisors (see below), whose sum is σ = 27553570632. Its totient is φ = 17678352384.

The previous prime is 22142140393. The next prime is 22142140469. The reversal of 22142140433 is 33404124122.

It can be written as a sum of positive squares in 4 ways, for example, as 5698438144 + 16443702289 = 75488^2 + 128233^2 .

It is a de Polignac number, because none of the positive numbers 2k-22142140433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22142140483) 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 23 ways as a sum of consecutive naturals, for example, 56216 + ... + 217817.

It is an arithmetic number, because the mean of its divisors is an integer number (1148065443).

Almost surely, 222142140433 is an apocalyptic number.

It is an amenable number.

22142140433 is a deficient number, since it is larger than the sum of its proper divisors (5411430199).

22142140433 is a wasteful number, since it uses less digits than its factorization.

22142140433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274161 (or 274154 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 22142140433 its reverse (33404124122), we get a palindrome (55546264555).

The spelling of 22142140433 in words is "twenty-two billion, one hundred forty-two million, one hundred forty thousand, four hundred thirty-three".

Divisors: 1 7 17 49 97 119 679 833 1649 4753 11543 80801 274033 1918231 4658561 13427617 26581201 32609927 186068407 228269489 451880417 1302478849 3163162919 22142140433