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242177661 = 3311815413
BaseRepresentation
bin11100110111101…
…01011001111101
3121212200220022000
432123311121331
5443444141121
640010412513
76000322215
oct1633653175
9555626260
10242177661
11114780730
1269131139
133b2340bb
1424241245
15163db526
hexe6f567d

242177661 has 16 divisors (see below), whose sum is σ = 391398720. Its totient is φ = 146774160.

The previous prime is 242177657. The next prime is 242177671. The reversal of 242177661 is 166771242.

It is not a de Polignac number, because 242177661 - 22 = 242177657 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242177641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407410 + ... + 408003.

It is an arithmetic number, because the mean of its divisors is an integer number (24462420).

Almost surely, 2242177661 is an apocalyptic number.

It is an amenable number.

242177661 is a deficient number, since it is larger than the sum of its proper divisors (149221059).

242177661 is a wasteful number, since it uses less digits than its factorization.

242177661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815433 (or 815427 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 242177661 is about 15562.0583792762. The cubic root of 242177661 is about 623.3204278898.

It can be divided in two parts, 24217 and 7661, that added together give a triangular number (31878 = T252).

The spelling of 242177661 in words is "two hundred forty-two million, one hundred seventy-seven thousand, six hundred sixty-one".

Divisors: 1 3 9 11 27 33 99 297 815413 2446239 7338717 8969543 22016151 26908629 80725887 242177661