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242266660 = 225171973617
BaseRepresentation
bin11100111000010…
…11001000100100
3121212212102101021
432130023020210
5444010013120
640012340524
76001142536
oct1634131044
9555772337
10242266660
11114831589
1269174744
133b26576c
1424265856
1516407aaa
hexe70b224

242266660 has 48 divisors (see below), whose sum is σ = 541571184. Its totient is φ = 90718208.

The previous prime is 242266649. The next prime is 242266669. The reversal of 242266660 is 66662242.

It can be written as a sum of positive squares in 8 ways, for example, as 401956 + 241864704 = 634^2 + 15552^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (242266669) 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, 65172 + ... + 68788.

It is an arithmetic number, because the mean of its divisors is an integer number (11282733).

Almost surely, 2242266660 is an apocalyptic number.

242266660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242266660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270785592).

242266660 is an abundant number, since it is smaller than the sum of its proper divisors (299304524).

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

242266660 is a wasteful number, since it uses less digits than its factorization.

242266660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 242266660 is about 15564.9176033797. The cubic root of 242266660 is about 623.3967741836.

The spelling of 242266660 in words is "two hundred forty-two million, two hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 197 340 394 788 985 1970 3349 3617 3940 6698 7234 13396 14468 16745 18085 33490 36170 61489 66980 72340 122978 245956 307445 614890 712549 1229780 1425098 2850196 3562745 7125490 12113333 14250980 24226666 48453332 60566665 121133330 242266660