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242205405 = 351310091231
BaseRepresentation
bin11100110111111…
…00001011011101
3121212202022100120
432123330023131
5444001033110
640011145153
76000466131
oct1633741335
9555668316
10242205405
1111479a562
12691451b9
133b243910
142424b3c1
15163e4870
hexe6fc2dd

242205405 has 32 divisors (see below), whose sum is σ = 418091520. Its totient is φ = 119024640.

The previous prime is 242205391. The next prime is 242205413. The reversal of 242205405 is 504502242.

It is a happy number.

It is not a de Polignac number, because 242205405 - 216 = 242139869 is a prime.

It is a super-2 number, since 2×2422054052 = 117326916422428050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196140 + ... + 197370.

It is an arithmetic number, because the mean of its divisors is an integer number (13065360).

Almost surely, 2242205405 is an apocalyptic number.

It is an amenable number.

242205405 is a deficient number, since it is larger than the sum of its proper divisors (175886115).

242205405 is a wasteful number, since it uses less digits than its factorization.

242205405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261.

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 242205405 is about 15562.9497525373. The cubic root of 242205405 is about 623.3442296194.

Adding to 242205405 its reverse (504502242), we get a palindrome (746707647).

The spelling of 242205405 in words is "two hundred forty-two million, two hundred five thousand, four hundred five".

Divisors: 1 3 5 13 15 39 65 195 1009 1231 3027 3693 5045 6155 13117 15135 16003 18465 39351 48009 65585 80015 196755 240045 1242079 3726237 6210395 16147027 18631185 48441081 80735135 242205405