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242232240 = 24351009301
BaseRepresentation
bin11100111000000…
…10101110110000
3121212210200011110
432130002232300
5444002412430
640011513320
76000640305
oct1634025660
9555720143
10242232240
11114808738
1269158840
133b252bb3
14242570ac
15163ec7b0
hexe702bb0

242232240 has 40 divisors (see below), whose sum is σ = 750920688. Its totient is φ = 64595200.

The previous prime is 242232227. The next prime is 242232247. The reversal of 242232240 is 42232242.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (242232247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504411 + ... + 504890.

Almost surely, 2242232240 is an apocalyptic number.

242232240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242232240 is an abundant number, since it is smaller than the sum of its proper divisors (508688448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242232240 is a wasteful number, since it uses less digits than its factorization.

242232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009317 (or 1009311 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 242232240 is about 15563.8118724174. The cubic root of 242232240 is about 623.3672497837.

Adding to 242232240 its reverse (42232242), we get a palindrome (284464482).

The spelling of 242232240 in words is "two hundred forty-two million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1009301 2018602 3027903 4037204 5046505 6055806 8074408 10093010 12111612 15139515 16148816 20186020 24223224 30279030 40372040 48446448 60558060 80744080 121116120 242232240