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242214312 = 23347214729
BaseRepresentation
bin11100110111111…
…10010110101000
3121212202202120110
432123332112220
5444001324222
640011254320
76000534114
oct1633762650
9555682513
10242214312
111147a621a
126914a3a0
133b2479a2
1424250744
15163e730c
hexe6fe5a8

242214312 has 32 divisors (see below), whose sum is σ = 618422400. Its totient is φ = 79019904.

The previous prime is 242214307. The next prime is 242214319. The reversal of 242214312 is 213412242.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242214319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106237 + ... + 108492.

It is an arithmetic number, because the mean of its divisors is an integer number (19325700).

Almost surely, 2242214312 is an apocalyptic number.

It is an amenable number.

242214312 is an abundant number, since it is smaller than the sum of its proper divisors (376208088).

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

242214312 is a wasteful number, since it uses less digits than its factorization.

242214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214785 (or 214781 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 242214312 is about 15563.2359103112. The cubic root of 242214312 is about 623.3518705981.

Adding to 242214312 its reverse (213412242), we get a palindrome (455626554).

The spelling of 242214312 in words is "two hundred forty-two million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 214729 429458 644187 858916 1288374 1717832 2576748 5153496 10092263 20184526 30276789 40369052 60553578 80738104 121107156 242214312