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242617700 = 225213186629
BaseRepresentation
bin11100111011000…
…00110101100100
3121220112020220202
432131200311210
5444102231300
640024050032
76004134143
oct1635406544
9556466822
10242617700
11114a512a6
1269303918
133b359490
142431775a
1516476ad5
hexe760d64

242617700 has 36 divisors (see below), whose sum is σ = 566981940. Its totient is φ = 89581440.

The previous prime is 242617699. The next prime is 242617703. The reversal of 242617700 is 7716242.

242617700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 53114944 + 189502756 = 7288^2 + 13766^2 .

It is not an unprimeable number, because it can be changed into a prime (242617703) 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, 92015 + ... + 94614.

Almost surely, 2242617700 is an apocalyptic number.

242617700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242617700 is an abundant number, since it is smaller than the sum of its proper divisors (324364240).

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

242617700 is a wasteful number, since it uses less digits than its factorization.

242617700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186656 (or 186649 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 242617700 is about 15576.1901631946. The cubic root of 242617700 is about 623.6977257488.

The spelling of 242617700 in words is "two hundred forty-two million, six hundred seventeen thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 186629 373258 746516 933145 1866290 2426177 3732580 4665725 4852354 9331450 9704708 12130885 18662900 24261770 48523540 60654425 121308850 242617700