Search a number
-
+
2201129 = 72291549
BaseRepresentation
bin1000011001011000101001
311010211101022
420121120221
51030414004
6115102225
724465200
oct10313051
94124338
102201129
111273817
128a1975
135c0b58
14414237
152d72be
hex219629

2201129 has 12 divisors (see below), whose sum is σ = 2650500. Its totient is φ = 1820448.

The previous prime is 2201119. The next prime is 2201137. The reversal of 2201129 is 9211022.

It can be written as a sum of positive squares in 2 ways, for example, as 946729 + 1254400 = 973^2 + 1120^2 .

It is not a de Polignac number, because 2201129 - 28 = 2200873 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2201119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 647 + ... + 2195.

It is an arithmetic number, because the mean of its divisors is an integer number (220875).

22201129 is an apocalyptic number.

2201129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2201129 is a deficient number, since it is larger than the sum of its proper divisors (449371).

2201129 is a wasteful number, since it uses less digits than its factorization.

2201129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2201129 is about 1483.6202344266. The cubic root of 2201129 is about 130.0813888766.

The spelling of 2201129 in words is "two million, two hundred one thousand, one hundred twenty-nine".

Divisors: 1 7 29 49 203 1421 1549 10843 44921 75901 314447 2201129