Search a number
-
+
22001404242033 = 34271622274593
BaseRepresentation
bin1010000000010100110011…
…11000100110100001110001
32212220022110200122020120000
411000022121320212201301
510340432333441221113
6114443150000540213
74430356210261026
oct500123170464161
985808420566500
1022001404242033
11701281a134727
122574029921669
13c37953750648
14560c3340554d
15282491295373
hex140299e26871

22001404242033 has 10 divisors (see below), whose sum is σ = 32866295225874. Its totient is φ = 14667602827968.

The previous prime is 22001404242007. The next prime is 22001404242049. The reversal of 22001404242033 is 33024240410022.

22001404242033 is a `hidden beast` number, since 2 + 20 + 0 + 14 + 0 + 424 + 203 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21648482700849 + 352921541184 = 4652793^2 + 594072^2 .

It is not a de Polignac number, because 22001404242033 - 28 = 22001404241777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22001404241988 and 22001404242006.

It is not an unprimeable number, because it can be changed into a prime (22001404242133) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 135811137216 + ... + 135811137377.

Almost surely, 222001404242033 is an apocalyptic number.

It is an amenable number.

22001404242033 is a deficient number, since it is larger than the sum of its proper divisors (10864890983841).

22001404242033 is an equidigital number, since it uses as much as digits as its factorization.

22001404242033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271622274605 (or 271622274596 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22001404242033 its reverse (33024240410022), we get a palindrome (55025644652055).

The spelling of 22001404242033 in words is "twenty-two trillion, one billion, four hundred four million, two hundred forty-two thousand, thirty-three".

Divisors: 1 3 9 27 81 271622274593 814866823779 2444600471337 7333801414011 22001404242033