Search a number
-
+
2212149 = 32947541
BaseRepresentation
bin1000011100000100110101
311011101111110
420130010311
51031242044
6115225233
724542262
oct10340465
94141443
102212149
111281025
128a8219
135c5b84
14418269
152da6b9
hex21c135

2212149 has 16 divisors (see below), whose sum is σ = 3121920. Its totient is φ = 1391040.

The previous prime is 2212141. The next prime is 2212153. The reversal of 2212149 is 9412122.

It is not a de Polignac number, because 2212149 - 23 = 2212141 is a prime.

2212149 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3819 + ... + 4359.

It is an arithmetic number, because the mean of its divisors is an integer number (195120).

22212149 is an apocalyptic number.

2212149 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2212149 is a deficient number, since it is larger than the sum of its proper divisors (909771).

2212149 is a wasteful number, since it uses less digits than its factorization.

2212149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620.

The product of its digits is 288, while the sum is 21.

The square root of 2212149 is about 1487.3294860252. The cubic root of 2212149 is about 130.2981126972.

The spelling of 2212149 in words is "two million, two hundred twelve thousand, one hundred forty-nine".

Divisors: 1 3 29 47 87 141 541 1363 1623 4089 15689 25427 47067 76281 737383 2212149