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242265064 = 234171101103
BaseRepresentation
bin11100111000010…
…10101111101000
3121212212100012011
432130022233220
5444004440224
640012325304
76001135066
oct1634125750
9555770164
10242265064
11114830368
1269173834
133b264b12
1424265036
1516407394
hexe70abe8

242265064 has 64 divisors (see below), whose sum is σ = 481178880. Its totient is φ = 114240000.

The previous prime is 242265019. The next prime is 242265071. The reversal of 242265064 is 460562242.

242265064 = T317 + T318 + ... + T1140.

It is a super-2 number, since 2×2422650642 = 117384722469848192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2352037 + ... + 2352139.

It is an arithmetic number, because the mean of its divisors is an integer number (7518420).

Almost surely, 2242265064 is an apocalyptic number.

It is an amenable number.

242265064 is a deficient number, since it is larger than the sum of its proper divisors (238913816).

242265064 is a wasteful number, since it uses less digits than its factorization.

242265064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 242265064 is about 15564.8663341514. The cubic root of 242265064 is about 623.3954052465.

The spelling of 242265064 in words is "two hundred forty-two million, two hundred sixty-five thousand, sixty-four".

Divisors: 1 2 4 8 41 71 82 101 103 142 164 202 206 284 328 404 412 568 808 824 2911 4141 4223 5822 7171 7313 8282 8446 10403 11644 14342 14626 16564 16892 20806 23288 28684 29252 33128 33784 41612 57368 58504 83224 294011 299833 426523 588022 599666 738613 853046 1176044 1199332 1477226 1706092 2352088 2398664 2954452 3412184 5908904 30283133 60566266 121132532 242265064