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242306900 = 225211220279
BaseRepresentation
bin11100111000101…
…00111101010100
3121212221110120122
432130110331110
5444012310100
640013251112
76001401053
oct1634247524
9555843518
10242306900
11114859840
1269193a98
133b27ab84
142427639a
1516414985
hexe714f54

242306900 has 36 divisors (see below), whose sum is σ = 573609120. Its totient is φ = 88111200.

The previous prime is 242306893. The next prime is 242306903. The reversal of 242306900 is 9603242.

It is a super-2 number, since 2×2423069002 = 117425267575220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242306900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242306903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109040 + ... + 111239.

Almost surely, 2242306900 is an apocalyptic number.

242306900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242306900 is an abundant number, since it is smaller than the sum of its proper divisors (331302220).

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

242306900 is a wasteful number, since it uses less digits than its factorization.

242306900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220304 (or 220297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 242306900 is about 15566.2102003024. The cubic root of 242306900 is about 623.4312872520.

The spelling of 242306900 in words is "two hundred forty-two million, three hundred six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 220279 440558 881116 1101395 2202790 2423069 4405580 4846138 5506975 9692276 11013950 12115345 22027900 24230690 48461380 60576725 121153450 242306900