Search a number
-
+
200523104 = 2543612389
BaseRepresentation
bin10111111001110…
…11110101100000
3111222022121222122
423330323311200
5402313214404
631521523412
74653263315
oct1374736540
9458277878
10200523104
11a320aa81
12571a3568
133270b432
141c8bad0c
151290e3be
hexbf3bd60

200523104 has 48 divisors (see below), whose sum is σ = 410754960. Its totient is φ = 96284160.

The previous prime is 200523101. The next prime is 200523107. The reversal of 200523104 is 401325002.

It is an interprime number because it is at equal distance from previous prime (200523101) and next prime (200523107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200523101) 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 7 ways as a sum of consecutive naturals, for example, 82742 + ... + 85130.

It is an arithmetic number, because the mean of its divisors is an integer number (8557395).

Almost surely, 2200523104 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 200523104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205377480).

200523104 is an abundant number, since it is smaller than the sum of its proper divisors (210231856).

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

200523104 is a wasteful number, since it uses less digits than its factorization.

200523104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 200523104 is about 14160.6180656072. The cubic root of 200523104 is about 585.3129589002.

Adding to 200523104 its reverse (401325002), we get a palindrome (601848106).

The spelling of 200523104 in words is "two hundred million, five hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 43 61 86 122 172 244 344 488 688 976 1376 1952 2389 2623 4778 5246 9556 10492 19112 20984 38224 41968 76448 83936 102727 145729 205454 291458 410908 582916 821816 1165832 1643632 2331664 3287264 4663328 6266347 12532694 25065388 50130776 100261552 200523104