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2122261 = 712421
BaseRepresentation
bin1000000110001000010101
310222211012021
420012020111
51020403021
6113253141
724016231
oct10061025
93884167
102122261
11121a539
128641b1
13593c9b
143d35c1
152bdc41
hex206215

2122261 has 6 divisors (see below), whose sum is σ = 2157686. Its totient is φ = 2087400.

The previous prime is 2122259. The next prime is 2122277. The reversal of 2122261 is 1622212.

Adding to 2122261 its reverse (1622212), we get a palindrome (3744473).

It can be written as a sum of positive squares in only one way, i.e., 1134225 + 988036 = 1065^2 + 994^2 .

It is not a de Polignac number, because 2122261 - 21 = 2122259 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4831 + ... + 5251.

22122261 is an apocalyptic number.

2122261 is the 652-nd centered decagonal number.

It is an amenable number.

2122261 is a deficient number, since it is larger than the sum of its proper divisors (35425).

2122261 is an frugal number, since it uses more digits than its factorization.

2122261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 492 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 2122261 is about 1456.7982015365. The cubic root of 2122261 is about 128.5088186048.

The spelling of 2122261 in words is "two million, one hundred twenty-two thousand, two hundred sixty-one".

Divisors: 1 71 421 5041 29891 2122261