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242141000 = 23533173107
BaseRepresentation
bin11100110111011…
…00011101001000
3121212122001000012
432123230131020
5443442003000
640005531052
76000110303
oct1633543510
9555561005
10242141000
11114756132
1269113a88
133b2204ca
1424231b3a
15163d0735
hexe6ec748

242141000 has 128 divisors (see below), whose sum is σ = 598440960. Its totient is φ = 91584000.

The previous prime is 242140991. The next prime is 242141017. The reversal of 242141000 is 141242.

242141000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2262947 + ... + 2263053.

It is an arithmetic number, because the mean of its divisors is an integer number (4675320).

Almost surely, 2242141000 is an apocalyptic number.

242141000 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 242141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299220480).

242141000 is an abundant number, since it is smaller than the sum of its proper divisors (356299960).

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

242141000 is a wasteful number, since it uses less digits than its factorization.

242141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 242141000 is about 15560.8804378159. The cubic root of 242141000 is about 623.2889734288.

Adding to 242141000 its reverse (141242), we get a palindrome (242282242).

The spelling of 242141000 in words is "two hundred forty-two million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 73 100 107 124 125 146 155 200 214 248 250 292 310 365 428 500 535 584 620 730 775 856 1000 1070 1240 1460 1550 1825 2140 2263 2675 2920 3100 3317 3650 3875 4280 4526 5350 6200 6634 7300 7750 7811 9052 9125 10700 11315 13268 13375 14600 15500 15622 16585 18104 18250 21400 22630 26536 26750 31000 31244 33170 36500 39055 45260 53500 56575 62488 66340 73000 78110 82925 90520 107000 113150 132680 156220 165850 195275 226300 242141 282875 312440 331700 390550 414625 452600 484282 565750 663400 781100 829250 968564 976375 1131500 1210705 1562200 1658500 1937128 1952750 2263000 2421410 3317000 3905500 4842820 6053525 7811000 9685640 12107050 24214100 30267625 48428200 60535250 121070500 242141000