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242325580 = 225723741163
BaseRepresentation
bin11100111000110…
…01100001001100
3121212222102012111
432130121201030
5444013404310
640013513404
76001506400
oct1634314114
9555872174
10242325580
11114871882
12691a2864
133b286523
142427d100
151641a28a
hexe71984c

242325580 has 144 divisors (see below), whose sum is σ = 626615136. Its totient is φ = 78382080.

The previous prime is 242325571. The next prime is 242325583. The reversal of 242325580 is 85523242.

It is not an unprimeable number, because it can be changed into a prime (242325583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1486579 + ... + 1486741.

It is an arithmetic number, because the mean of its divisors is an integer number (4351494).

Almost surely, 2242325580 is an apocalyptic number.

242325580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242325580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313307568).

242325580 is an abundant number, since it is smaller than the sum of its proper divisors (384289556).

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

242325580 is a wasteful number, since it uses less digits than its factorization.

242325580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 242325580 is about 15566.8102063332. The cubic root of 242325580 is about 623.4473074275.

The spelling of 242325580 in words is "two hundred forty-two million, three hundred twenty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 41 49 70 74 82 98 140 148 163 164 185 196 205 245 259 287 326 370 410 490 518 574 652 740 815 820 980 1036 1141 1148 1295 1435 1517 1630 1813 2009 2282 2590 2870 3034 3260 3626 4018 4564 5180 5705 5740 6031 6068 6683 7252 7585 7987 8036 9065 10045 10619 11410 12062 13366 15170 15974 18130 20090 21238 22820 24124 26732 30155 30340 31948 33415 36260 39935 40180 42217 42476 46781 53095 60310 66830 74333 79870 84434 93562 106190 120620 133660 148666 159740 168868 187124 211085 212380 233905 247271 295519 297332 327467 371665 422170 467810 494542 591038 654934 743330 844340 935620 989084 1182076 1236355 1309868 1477595 1486660 1637335 1730897 2472710 2955190 3274670 3461794 4945420 5910380 6549340 6923588 8654485 12116279 17308970 24232558 34617940 48465116 60581395 121162790 242325580