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242268750 = 232555973
BaseRepresentation
bin11100111000010…
…11101001001110
3121212212112020200
432130023221032
5444010100000
640012354330
76001151613
oct1634135116
9555775220
10242268750
11114833109
12691759a6
133b2666b9
142426650a
1516408500
hexe70ba4e

242268750 has 144 divisors (see below), whose sum is σ = 676362960. Its totient is φ = 62640000.

The previous prime is 242268749. The next prime is 242268757. The reversal of 242268750 is 57862242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242268757) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3318714 + ... + 3318786.

It is an arithmetic number, because the mean of its divisors is an integer number (4696965).

Almost surely, 2242268750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242268750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338181480).

242268750 is an abundant number, since it is smaller than the sum of its proper divisors (434094210).

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

242268750 is an equidigital number, since it uses as much as digits as its factorization.

242268750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 242268750 is about 15564.9847413995. The cubic root of 242268750 is about 623.3985668302.

The spelling of 242268750 in words is "two hundred forty-two million, two hundred sixty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 59 73 75 90 118 125 146 150 177 219 225 250 295 354 365 375 438 450 531 590 625 657 730 750 885 1062 1095 1125 1250 1314 1475 1770 1825 1875 2190 2250 2655 2950 3125 3285 3650 3750 4307 4425 5310 5475 5625 6250 6570 7375 8614 8850 9125 9375 10950 11250 12921 13275 14750 16425 18250 18750 21535 22125 25842 26550 27375 28125 32850 36875 38763 43070 44250 45625 54750 56250 64605 66375 73750 77526 82125 91250 107675 110625 129210 132750 136875 164250 184375 193815 215350 221250 228125 273750 323025 331875 368750 387630 410625 456250 538375 553125 646050 663750 684375 821250 969075 1076750 1106250 1368750 1615125 1659375 1938150 2053125 2691875 3230250 3318750 4106250 4845375 5383750 8075625 9690750 13459375 16151250 24226875 26918750 40378125 48453750 80756250 121134375 242268750