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242223240132 = 2234747602593
BaseRepresentation
bin1110000110010110100…
…0010101001111000100
3212011012221202112010000
43201211220111033010
512432033122141012
6303135324401300
723333342366316
oct3414550251704
9764187675100
10242223240132
11937a9782485
123ab400a6230
1319ac2b7c233
14ba1ba597b6
15647a218ddc
hex3865a153c4

242223240132 has 30 divisors (see below), whose sum is σ = 633219397118. Its totient is φ = 80741079936.

The previous prime is 242223240107. The next prime is 242223240139. The reversal of 242223240132 is 231042322242.

242223240132 is a `hidden beast` number, since 2 + 4 + 2 + 223 + 2 + 401 + 32 = 666.

242223240132 is digitally balanced in base 3, 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 only one way, i.e., 217292093316 + 24931146816 = 466146^2 + 157896^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242223240096 and 242223240105.

It is not an unprimeable number, because it can be changed into a prime (242223240139) 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 9 ways as a sum of consecutive naturals, for example, 373800973 + ... + 373801620.

Almost surely, 2242223240132 is an apocalyptic number.

It is an amenable number.

242223240132 is an abundant number, since it is smaller than the sum of its proper divisors (390996156986).

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

242223240132 is a wasteful number, since it uses less digits than its factorization.

242223240132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747602609 (or 747602598 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242223240132 its reverse (231042322242), we get a palindrome (473265562374).

The spelling of 242223240132 in words is "two hundred forty-two billion, two hundred twenty-three million, two hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 747602593 1495205186 2242807779 2990410372 4485615558 6728423337 8971231116 13456846674 20185270011 26913693348 40370540022 60555810033 80741080044 121111620066 242223240132