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242554644 = 223257711677
BaseRepresentation
bin11100111010100…
…01011100010100
3121220102001102100
432131101130110
5444043222034
640022442100
76003452253
oct1635213424
9556361370
10242554644
11114a08992
1269293330
133b336877
14242dc79a
1516463099
hexe751714

242554644 has 36 divisors (see below), whose sum is σ = 614239444. Its totient is φ = 80704512.

The previous prime is 242554621. The next prime is 242554649. The reversal of 242554644 is 446455242.

242554644 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 5 + 4 + 644 = 666.

242554644 is digitally balanced in base 2, 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 2 ways, for example, as 229159044 + 13395600 = 15138^2 + 3660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242554599 and 242554608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242554649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14934 + ... + 26610.

Almost surely, 2242554644 is an apocalyptic number.

It is an amenable number.

242554644 is an abundant number, since it is smaller than the sum of its proper divisors (371684800).

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

242554644 is a wasteful number, since it uses less digits than its factorization.

242554644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12264 (or 12259 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 242554644 is about 15574.1659166711. The cubic root of 242554644 is about 623.6436883457.

The spelling of 242554644 in words is "two hundred forty-two million, five hundred fifty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 577 1154 1731 2308 3462 5193 6924 10386 11677 20772 23354 35031 46708 70062 105093 140124 210186 420372 6737629 13475258 20212887 26950516 40425774 60638661 80851548 121277322 242554644