Search a number
-
+
202830240 = 2535422563
BaseRepresentation
bin11000001011011…
…11000110100000
3112010122211210010
430011233012200
5403411031430
632043204520
75012012544
oct1405570640
9463584703
10202830240
11a45463a8
1257b16740
13330385c2
141cd1ba24
1512c17cb0
hexc16f1a0

202830240 has 48 divisors (see below), whose sum is σ = 638916768. Its totient is φ = 54087936.

The previous prime is 202830227. The next prime is 202830253. The reversal of 202830240 is 42038202.

It is an interprime number because it is at equal distance from previous prime (202830227) and next prime (202830253).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2028302403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210802 + ... + 211761.

It is an arithmetic number, because the mean of its divisors is an integer number (13310766).

Almost surely, 2202830240 is an apocalyptic number.

202830240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202830240 is an abundant number, since it is smaller than the sum of its proper divisors (436086528).

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

202830240 is a wasteful number, since it uses less digits than its factorization.

202830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422581 (or 422573 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 202830240 is about 14241.8481946691. The cubic root of 202830240 is about 587.5491940095.

Adding to 202830240 its reverse (42038202), we get a palindrome (244868442).

The spelling of 202830240 in words is "two hundred two million, eight hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 422563 845126 1267689 1690252 2112815 2535378 3380504 4225630 5070756 6338445 6761008 8451260 10141512 12676890 13522016 16902520 20283024 25353780 33805040 40566048 50707560 67610080 101415120 202830240