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242231249 = 1321784313
BaseRepresentation
bin11100111000000…
…10011111010001
3121212210121210202
432130002133101
5444002344444
640011504545
76000634361
oct1634023721
9555717722
10242231249
11114807a17
1269158155
133b252600
14242569a1
15163ec34e
hexe7027d1

242231249 has 12 divisors (see below), whose sum is σ = 277730316. Its totient is φ = 210442752.

The previous prime is 242231243. The next prime is 242231257. The reversal of 242231249 is 942132242.

It is a happy number.

242231249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 117649 + 242113600 = 343^2 + 15560^2 .

It is a de Polignac number, because none of the positive numbers 2k-242231249 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 (242231243) 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, 39284 + ... + 45029.

It is an arithmetic number, because the mean of its divisors is an integer number (23144193).

Almost surely, 2242231249 is an apocalyptic number.

It is an amenable number.

242231249 is a deficient number, since it is larger than the sum of its proper divisors (35499067).

242231249 is a wasteful number, since it uses less digits than its factorization.

242231249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84356 (or 84343 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 242231249 is about 15563.7800357111. The cubic root of 242231249 is about 623.3663996935.

The spelling of 242231249 in words is "two hundred forty-two million, two hundred thirty-one thousand, two hundred forty-nine".

Divisors: 1 13 17 169 221 2873 84313 1096069 1433321 14248897 18633173 242231249