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2241309 = 37279193
BaseRepresentation
bin1000100011001100011101
311012212111110
420203030131
51033210214
6120012233
725023300
oct10431435
94185443
102241309
1112a0a24
12901079
13606225
14424b37
152e4159
hex22331d

2241309 has 24 divisors (see below), whose sum is σ = 3538560. Its totient is φ = 1257984.

The previous prime is 2241301. The next prime is 2241311. The reversal of 2241309 is 9031422.

It is not a de Polignac number, because 2241309 - 23 = 2241301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

2241309 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11517 + ... + 11709.

It is an arithmetic number, because the mean of its divisors is an integer number (147440).

22241309 is an apocalyptic number.

It is an amenable number.

2241309 is a deficient number, since it is larger than the sum of its proper divisors (1297251).

2241309 is a wasteful number, since it uses less digits than its factorization.

2241309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2241309 is about 1497.1001970476. The cubic root of 2241309 is about 130.8681345028.

The spelling of 2241309 in words is "two million, two hundred forty-one thousand, three hundred nine".

Divisors: 1 3 7 21 49 79 147 193 237 553 579 1351 1659 3871 4053 9457 11613 15247 28371 45741 106729 320187 747103 2241309