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242336250 = 23254131657
BaseRepresentation
bin11100111000111…
…00000111111010
3121212222221211200
432130130013322
5444014230000
640014035030
76001552452
oct1634340772
9555887750
10242336250
111148798a2
12691a8a76
133b28b340
1424282d62
151641d500
hexe71c1fa

242336250 has 120 divisors (see below), whose sum is σ = 707014308. Its totient is φ = 59616000.

The previous prime is 242336249. The next prime is 242336291. The reversal of 242336250 is 52633242.

242336250 is a `hidden beast` number, since 2 + 4 + 2 + 33 + 625 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 71014329 + 171321921 = 8427^2 + 13089^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145422 + ... + 147078.

Almost surely, 2242336250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242336250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353507154).

242336250 is an abundant number, since it is smaller than the sum of its proper divisors (464678058).

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

242336250 is a wasteful number, since it uses less digits than its factorization.

242336250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 242336250 is about 15567.1529188866. The cubic root of 242336250 is about 623.4564577686.

Adding to 242336250 its reverse (52633242), we get a palindrome (294969492).

The spelling of 242336250 in words is "two hundred forty-two million, three hundred thirty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 125 130 150 195 225 234 250 325 375 390 450 585 625 650 750 975 1125 1170 1250 1625 1657 1875 1950 2250 2925 3250 3314 3750 4875 4971 5625 5850 8125 8285 9750 9942 11250 14625 14913 16250 16570 21541 24375 24855 29250 29826 41425 43082 48750 49710 64623 73125 74565 82850 107705 124275 129246 146250 149130 193869 207125 215410 248550 323115 372825 387738 414250 538525 621375 646230 745650 969345 1035625 1077050 1242750 1615575 1864125 1938690 2071250 2692625 3106875 3231150 3728250 4846725 5385250 6213750 8077875 9320625 9693450 13463125 16155750 18641250 24233625 26926250 40389375 48467250 80778750 121168125 242336250