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242151541 = 5323319609
BaseRepresentation
bin11100110111011…
…11000001110101
3121212122120110121
432123233001311
5443442322131
640010051541
76000153112
oct1633570165
9555576417
10242151541
11114763045
1269119bb1
133b225248
1424235909
15163d3911
hexe6ef075

242151541 has 8 divisors (see below), whose sum is σ = 247791960. Its totient is φ = 236550912.

The previous prime is 242151529. The next prime is 242151563. The reversal of 242151541 is 145151242.

It can be written as a sum of positive squares in 4 ways, for example, as 105144516 + 137007025 = 10254^2 + 11705^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242151541 - 211 = 242149493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242155541) 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 7 ways as a sum of consecutive naturals, for example, 2545 + ... + 22153.

It is an arithmetic number, because the mean of its divisors is an integer number (30973995).

Almost surely, 2242151541 is an apocalyptic number.

It is an amenable number.

242151541 is a deficient number, since it is larger than the sum of its proper divisors (5640419).

242151541 is a wasteful number, since it uses less digits than its factorization.

242151541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19895.

The product of its digits is 1600, while the sum is 25.

The square root of 242151541 is about 15561.2191360446. The cubic root of 242151541 is about 623.2980177373.

The spelling of 242151541 in words is "two hundred forty-two million, one hundred fifty-one thousand, five hundred forty-one".

Divisors: 1 53 233 12349 19609 1039277 4568897 242151541