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242230200 = 23352403717
BaseRepresentation
bin11100111000000…
…10001110111000
3121212210120100220
432130002032320
5444002331300
640011500040
76000631332
oct1634021670
9555716326
10242230200
11114807153
1269157620
133b251ca4
1424256452
15163ebda0
hexe7023b8

242230200 has 48 divisors (see below), whose sum is σ = 750915480. Its totient is φ = 64594560.

The previous prime is 242230141. The next prime is 242230201. The reversal of 242230200 is 2032242.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 242230200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242230201) by changing a digit.

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, 201259 + ... + 202458.

Almost surely, 2242230200 is an apocalyptic number.

242230200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242230200 is an abundant number, since it is smaller than the sum of its proper divisors (508685280).

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

242230200 is a wasteful number, since it uses less digits than its factorization.

242230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403736 (or 403727 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 242230200 is about 15563.7463356353. The cubic root of 242230200 is about 623.3654998477.

Adding to 242230200 its reverse (2032242), we get a palindrome (244262442).

The spelling of 242230200 in words is "two hundred forty-two million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 403717 807434 1211151 1614868 2018585 2422302 3229736 4037170 4844604 6055755 8074340 9689208 10092925 12111510 16148680 20185850 24223020 30278775 40371700 48446040 60557550 80743400 121115100 242230200