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242210332 = 227213234133
BaseRepresentation
bin11100110111111…
…01011000011100
3121212202120010001
432123331120130
5444001212312
640011224044
76000516400
oct1633753034
9555676101
10242210332
111147a3231
1269148024
133b245c30
142424d100
15163e6057
hexe6fd61c

242210332 has 72 divisors (see below), whose sum is σ = 554220576. Its totient is φ = 91631232.

The previous prime is 242210327. The next prime is 242210333. The reversal of 242210332 is 233012242.

242210332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242210333) 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 23 ways as a sum of consecutive naturals, for example, 56538 + ... + 60670.

It is an arithmetic number, because the mean of its divisors is an integer number (7697508).

Almost surely, 2242210332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242210332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277110288).

242210332 is an abundant number, since it is smaller than the sum of its proper divisors (312010244).

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

242210332 is a wasteful number, since it uses less digits than its factorization.

242210332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 242210332 is about 15563.1080443464. The cubic root of 242210332 is about 623.3484563297.

Adding to 242210332 its reverse (233012242), we get a palindrome (475222574).

The spelling of 242210332 in words is "two hundred forty-two million, two hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 49 52 91 92 98 161 182 196 299 322 364 598 637 644 1127 1196 1274 2093 2254 2548 4133 4186 4508 8266 8372 14651 16532 28931 29302 53729 57862 58604 95059 107458 115724 190118 202517 214916 376103 380236 405034 665413 752206 810068 1235767 1330826 1504412 2471534 2632721 2661652 4657891 4943068 5265442 8650369 9315782 10530884 17300738 18631564 34601476 60552583 121105166 242210332