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202300144 = 24195911279
BaseRepresentation
bin11000000111011…
…01101011110000
3112002122220121221
430003231223300
5403242101034
632023554424
75004344224
oct1403555360
9462586557
10202300144
11a4214102
12578bba14
1332bb1237
141cc20784
1512b60bb4
hexc0edaf0

202300144 has 40 divisors (see below), whose sum is σ = 419616000. Its totient is φ = 94193856.

The previous prime is 202300139. The next prime is 202300159. The reversal of 202300144 is 441003202.

202300144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 12297 + ... + 23575.

It is an arithmetic number, because the mean of its divisors is an integer number (10490400).

Almost surely, 2202300144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209808000).

202300144 is an abundant number, since it is smaller than the sum of its proper divisors (217315856).

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

202300144 is a wasteful number, since it uses less digits than its factorization.

202300144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11365 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 202300144 is about 14223.2255132231. The cubic root of 202300144 is about 587.0368949836.

Adding to 202300144 its reverse (441003202), we get a palindrome (643303346).

The spelling of 202300144 in words is "two hundred two million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 236 304 472 944 1121 2242 4484 8968 11279 17936 22558 45116 90232 180464 214301 428602 665461 857204 1330922 1714408 2661844 3428816 5323688 10647376 12643759 25287518 50575036 101150072 202300144