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242422728 = 233311631999
BaseRepresentation
bin11100111001100…
…01001111001000
3121220011100110120
432130301033020
5444030011403
640015543240
76002362542
oct1634611710
9556140416
10242422728
11114928869
126922ab20
133b2bb802
14242a6692
1516438e53
hexe7313c8

242422728 has 64 divisors (see below), whose sum is σ = 629760000. Its totient is φ = 77682240.

The previous prime is 242422721. The next prime is 242422751. The reversal of 242422728 is 827224242.

242422728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242422721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120273 + ... + 122271.

It is an arithmetic number, because the mean of its divisors is an integer number (9840000).

Almost surely, 2242422728 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 242422728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314880000).

242422728 is an abundant number, since it is smaller than the sum of its proper divisors (387337272).

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

242422728 is a wasteful number, since it uses less digits than its factorization.

242422728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2198 counting only the distinct ones).

The product of its digits is 28672, while the sum is 33.

The square root of 242422728 is about 15569.9302503255. The cubic root of 242422728 is about 623.5306093598.

It can be divided in two parts, 2424 and 22728, that added together give a palindrome (25152).

The spelling of 242422728 in words is "two hundred forty-two million, four hundred twenty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 163 186 248 326 372 489 652 744 978 1304 1956 1999 3912 3998 5053 5997 7996 10106 11994 15159 15992 20212 23988 30318 40424 47976 60636 61969 121272 123938 185907 247876 325837 371814 495752 651674 743628 977511 1303348 1487256 1955022 2606696 3910044 7820088 10100947 20201894 30302841 40403788 60605682 80807576 121211364 242422728