Search a number
-
+
2221235135541 = 33532416440771
BaseRepresentation
bin100000010100101011111…
…011100110010000110101
321212100101200210012011000
4200110223323212100311
5242343042143314131
64420231001433513
7316323164062152
oct40245373462065
97770350705130
102221235135541
11787025365684
122ba5a719b899
13131600104cb6
1479718cd1229
153cba5848ce6
hex2052bee6435

2221235135541 has 32 divisors (see below), whose sum is σ = 3366720339840. Its totient is φ = 1446854572800.

The previous prime is 2221235135419. The next prime is 2221235135557. The reversal of 2221235135541 is 1455315321222.

2221235135541 is a `hidden beast` number, since 2 + 2 + 212 + 3 + 51 + 355 + 41 = 666.

It is not a de Polignac number, because 2221235135541 - 214 = 2221235119157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221235135496 and 2221235135505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221235135741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2875515 + ... + 3565256.

It is an arithmetic number, because the mean of its divisors is an integer number (105210010620).

Almost surely, 22221235135541 is an apocalyptic number.

It is an amenable number.

2221235135541 is a deficient number, since it is larger than the sum of its proper divisors (1145485204299).

2221235135541 is a wasteful number, since it uses less digits than its factorization.

2221235135541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6441074 (or 6441068 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 2221235135541 in words is "two trillion, two hundred twenty-one billion, two hundred thirty-five million, one hundred thirty-five thousand, five hundred forty-one".

Divisors: 1 3 9 27 53 159 241 477 723 1431 2169 6507 12773 38319 114957 344871 6440771 19322313 57966939 173900817 341360863 1024082589 1552225811 3072247767 4656677433 9216743301 13970032299 41910096897 82267967983 246803903949 740411711847 2221235135541