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242135500 = 22532916699
BaseRepresentation
bin11100110111010…
…11000111001100
3121212121202110111
432123223013030
5443441314000
640005445404
76000055255
oct1633530714
9555552414
10242135500
11114751a92
1269110864
133b21ab59
142422db2c
15163cdcba
hexe6eb1cc

242135500 has 48 divisors (see below), whose sum is σ = 547092000. Its totient is φ = 93508800.

The previous prime is 242135497. The next prime is 242135507. The reversal of 242135500 is 5531242.

It is not an unprimeable number, because it can be changed into a prime (242135507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6151 + ... + 22849.

It is an arithmetic number, because the mean of its divisors is an integer number (11397750).

Almost surely, 2242135500 is an apocalyptic number.

242135500 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 242135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273546000).

242135500 is an abundant number, since it is smaller than the sum of its proper divisors (304956500).

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

242135500 is a wasteful number, since it uses less digits than its factorization.

242135500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16747 (or 16735 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 242135500 is about 15560.7037115935. The cubic root of 242135500 is about 623.2842542565.

Adding to 242135500 its reverse (5531242), we get a palindrome (247666742).

The spelling of 242135500 in words is "two hundred forty-two million, one hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 1450 2900 3625 7250 14500 16699 33398 66796 83495 166990 333980 417475 484271 834950 968542 1669900 1937084 2087375 2421355 4174750 4842710 8349500 9685420 12106775 24213550 48427100 60533875 121067750 242135500