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242242280 = 23572123593
BaseRepresentation
bin11100111000001…
…01001011101000
3121212211011221022
432130011023220
5444003223110
640012032012
76001011500
oct1634051350
9555734838
10242242280
11114815235
1269162608
133b257637
142425aa00
1516400755
hexe7052e8

242242280 has 48 divisors (see below), whose sum is σ = 634037220. Its totient is φ = 83053824.

The previous prime is 242242243. The next prime is 242242291. The reversal of 242242280 is 82242242.

It can be written as a sum of positive squares in 2 ways, for example, as 238455364 + 3786916 = 15442^2 + 1946^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59837 + ... + 63756.

Almost surely, 2242242280 is an apocalyptic number.

242242280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242242280 is an abundant number, since it is smaller than the sum of its proper divisors (391794940).

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

242242280 is a wasteful number, since it uses less digits than its factorization.

242242280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123618 (or 123607 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 242242280 is about 15564.1344121670. The cubic root of 242242280 is about 623.3758620708.

The spelling of 242242280 in words is "two hundred forty-two million, two hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 123593 247186 494372 617965 865151 988744 1235930 1730302 2471860 3460604 4325755 4943720 6056057 6921208 8651510 12112114 17303020 24224228 30280285 34606040 48448456 60560570 121121140 242242280