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242112132 = 22332241779
BaseRepresentation
bin11100110111001…
…01011010000100
3121212120120102000
432123211122010
5443440042012
640005145300
75666630163
oct1633453204
9555516360
10242112132
11114736479
12690bb230
133b210322
14242253da
15163c6ddc
hexe6e5684

242112132 has 24 divisors (see below), whose sum is σ = 627698400. Its totient is φ = 80704008.

The previous prime is 242112121. The next prime is 242112133. The reversal of 242112132 is 231211242.

It is a happy number.

242112132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (242112133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1120782 + ... + 1120997.

It is an arithmetic number, because the mean of its divisors is an integer number (26154100).

Almost surely, 2242112132 is an apocalyptic number.

It is an amenable number.

242112132 is an abundant number, since it is smaller than the sum of its proper divisors (385586268).

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

242112132 is a wasteful number, since it uses less digits than its factorization.

242112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241792 (or 2241784 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 242112132 is about 15559.9528276920. The cubic root of 242112132 is about 623.2642029835.

Adding to 242112132 its reverse (231211242), we get a palindrome (473323374).

The spelling of 242112132 in words is "two hundred forty-two million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2241779 4483558 6725337 8967116 13450674 20176011 26901348 40352022 60528033 80704044 121056066 242112132