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242327250 = 23253119791
BaseRepresentation
bin11100111000110…
…01111011010010
3121212222111111100
432130121323102
5444013433000
640013525230
76001514304
oct1634317322
9555874440
10242327250
11114873060
12691a3816
133b287209
142427d974
151641aa00
hexe719ed2

242327250 has 96 divisors (see below), whose sum is σ = 714894336. Its totient is φ = 58740000.

The previous prime is 242327249. The next prime is 242327251. The reversal of 242327250 is 52723242.

It is an interprime number because it is at equal distance from previous prime (242327249) and next prime (242327251).

It is not an unprimeable number, because it can be changed into a prime (242327251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19855 + ... + 29645.

It is an arithmetic number, because the mean of its divisors is an integer number (7446816).

Almost surely, 2242327250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242327250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357447168).

242327250 is an abundant number, since it is smaller than the sum of its proper divisors (472567086).

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

242327250 is a wasteful number, since it uses less digits than its factorization.

242327250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9825 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 242327250 is about 15566.8638460032. The cubic root of 242327250 is about 623.4487395980.

The spelling of 242327250 in words is "two hundred forty-two million, three hundred twenty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 125 150 165 198 225 250 275 330 375 450 495 550 750 825 990 1125 1375 1650 2250 2475 2750 4125 4950 8250 9791 12375 19582 24750 29373 48955 58746 88119 97910 107701 146865 176238 215402 244775 293730 323103 440595 489550 538505 646206 734325 881190 969309 1077010 1223875 1468650 1615515 1938618 2202975 2447750 2692525 3231030 3671625 4405950 4846545 5385050 7343250 8077575 9693090 11014875 13462625 16155150 22029750 24232725 26925250 40387875 48465450 80775750 121163625 242327250