Search a number
-
+
200253024 = 2532695323
BaseRepresentation
bin10111110111110…
…01111001100000
3111221210220111200
423323321321200
5402231044044
631512041200
74651060026
oct1373717140
9457726450
10200253024
11a3046074
1257093200
133264551a
141c84a716
15128a9369
hexbef9e60

200253024 has 36 divisors (see below), whose sum is σ = 569470356. Its totient is φ = 66750912.

The previous prime is 200253023. The next prime is 200253049. The reversal of 200253024 is 420352002.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2002530242 = 80202547242289152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200252988 and 200253006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200253023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347374 + ... + 347949.

It is an arithmetic number, because the mean of its divisors is an integer number (15818621).

Almost surely, 2200253024 is an apocalyptic number.

200253024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200253024 is an abundant number, since it is smaller than the sum of its proper divisors (369217332).

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

200253024 is a wasteful number, since it uses less digits than its factorization.

200253024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695339 (or 695328 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 200253024 is about 14151.0785454678. The cubic root of 200253024 is about 585.0500592709.

The spelling of 200253024 in words is "two hundred million, two hundred fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 695323 1390646 2085969 2781292 4171938 5562584 6257907 8343876 11125168 12515814 16687752 22250336 25031628 33375504 50063256 66751008 100126512 200253024