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242044600 = 23527832083
BaseRepresentation
bin11100110110101…
…00111010111000
3121212110010202211
432123110322320
5443430411400
640003504504
75666226250
oct1633247270
9555403684
10242044600
1111469a766
1269088134
133b1b8675
1424208960
15163b1dba
hexe6d4eb8

242044600 has 96 divisors (see below), whose sum is σ = 651208320. Its totient is φ = 81947520.

The previous prime is 242044597. The next prime is 242044631. The reversal of 242044600 is 6440242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115159 + ... + 117241.

It is an arithmetic number, because the mean of its divisors is an integer number (6783420).

Almost surely, 2242044600 is an apocalyptic number.

242044600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242044600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325604160).

242044600 is an abundant number, since it is smaller than the sum of its proper divisors (409163720).

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

242044600 is a wasteful number, since it uses less digits than its factorization.

242044600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 242044600 is about 15557.7826183554. The cubic root of 242044600 is about 623.2062488559.

Adding to 242044600 its reverse (6440242), we get a palindrome (248484842).

The spelling of 242044600 in words is "two hundred forty-two million, forty-four thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 83 100 140 166 175 200 280 332 350 415 581 664 700 830 1162 1400 1660 2075 2083 2324 2905 3320 4150 4166 4648 5810 8300 8332 10415 11620 14525 14581 16600 16664 20830 23240 29050 29162 41660 52075 58100 58324 72905 83320 104150 116200 116648 145810 172889 208300 291620 345778 364525 416600 583240 691556 729050 864445 1210223 1383112 1458100 1728890 2420446 2916200 3457780 4322225 4840892 6051115 6915560 8644450 9681784 12102230 17288900 24204460 30255575 34577800 48408920 60511150 121022300 242044600