Search a number
-
+
2202125541 = 37119533011
BaseRepresentation
bin1000001101000001…
…1100010011100101
312200110200120100020
42003100130103211
514002221004131
61002303105353
7105366521040
oct20320342345
95613616306
102202125541
11a30051570
125155a2259
132912c6c85
1416c671c57
15cd4db996
hex8341c4e5

2202125541 has 16 divisors (see below), whose sum is σ = 3660676608. Its totient is φ = 1143961200.

The previous prime is 2202125531. The next prime is 2202125543. The reversal of 2202125541 is 1455212022.

It is not a de Polignac number, because 2202125541 - 25 = 2202125509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202125543) 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 15 ways as a sum of consecutive naturals, for example, 4766275 + ... + 4766736.

It is an arithmetic number, because the mean of its divisors is an integer number (228792288).

Almost surely, 22202125541 is an apocalyptic number.

2202125541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2202125541 is a deficient number, since it is larger than the sum of its proper divisors (1458551067).

2202125541 is a wasteful number, since it uses less digits than its factorization.

2202125541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533032.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2202125541 is about 46926.8104712008. The cubic root of 2202125541 is about 1301.0101696731.

Adding to 2202125541 its reverse (1455212022), we get a palindrome (3657337563).

The spelling of 2202125541 in words is "two billion, two hundred two million, one hundred twenty-five thousand, five hundred forty-one".

Divisors: 1 3 7 11 21 33 77 231 9533011 28599033 66731077 104863121 200193231 314589363 734041847 2202125541