Search a number
-
+
200875941 = 32722811621
BaseRepresentation
bin10111111100100…
…01111110100101
3111222222112222200
423332101332211
5402411012231
631533245113
74656263100
oct1376217645
9458875880
10200875941
11a3431082
1257333799
1332802c06
141c96d737
151297dbe6
hexbf91fa5

200875941 has 36 divisors (see below), whose sum is σ = 338936364. Its totient is φ = 114307200.

The previous prime is 200875921. The next prime is 200875949. The reversal of 200875941 is 149578002.

It can be written as a sum of positive squares in 2 ways, for example, as 145298916 + 55577025 = 12054^2 + 7455^2 .

It is not a de Polignac number, because 200875941 - 214 = 200859557 is a prime.

It is a super-2 number, since 2×2008759412 = 80702287345270962, which contains 22 as substring.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 200875896 and 200875905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200875949) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123111 + ... + 124731.

It is an arithmetic number, because the mean of its divisors is an integer number (9414899).

Almost surely, 2200875941 is an apocalyptic number.

200875941 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200875941 is a deficient number, since it is larger than the sum of its proper divisors (138060423).

200875941 is a wasteful number, since it uses less digits than its factorization.

200875941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 200875941 is about 14173.0709798547. The cubic root of 200875941 is about 585.6560599410.

The spelling of 200875941 in words is "two hundred million, eight hundred seventy-five thousand, nine hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 281 441 843 1621 1967 2529 4863 5901 11347 13769 14589 17703 34041 41307 79429 102123 123921 238287 455501 714861 1366503 3188507 4099509 9565521 22319549 28696563 66958647 200875941