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242080164 = 2234747161
BaseRepresentation
bin11100110110111…
…01100110100100
3121212111221120000
432123131212210
5443433031124
640004341300
75666435034
oct1633354644
9555457500
10242080164
11114714457
12690a4830
133b1cb901
14242178c4
15163bc6c9
hexe6dd9a4

242080164 has 30 divisors (see below), whose sum is σ = 632846214. Its totient is φ = 80693280.

The previous prime is 242080141. The next prime is 242080211. The reversal of 242080164 is 461080242.

242080164 is a `hidden beast` number, since 2 + 420 + 80 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 109369764 = 11520^2 + 10458^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 373257 + ... + 373904.

Almost surely, 2242080164 is an apocalyptic number.

It is an amenable number.

242080164 is an abundant number, since it is smaller than the sum of its proper divisors (390766050).

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

242080164 is a wasteful number, since it uses less digits than its factorization.

242080164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747177 (or 747166 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 242080164 is about 15558.9255413091. The cubic root of 242080164 is about 623.2367702579.

The spelling of 242080164 in words is "two hundred forty-two million, eighty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 747161 1494322 2241483 2988644 4482966 6724449 8965932 13448898 20173347 26897796 40346694 60520041 80693388 121040082 242080164