Search a number
-
+
200432256 = 2733714107
BaseRepresentation
bin10111111001001…
…01101010000000
3111222011000100220
423330211222000
5402302313011
631515543040
74652434413
oct1374455200
9458130326
10200432256
11a31587a2
125715aa80
13326a8c8b
141c895b7a
15128e2506
hexbf25a80

200432256 has 64 divisors (see below), whose sum is σ = 546826080. Its totient is φ = 65000448.

The previous prime is 200432251. The next prime is 200432257. The reversal of 200432256 is 652234002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (200432251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7155 + ... + 21261.

Almost surely, 2200432256 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 200432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273413040).

200432256 is an abundant number, since it is smaller than the sum of its proper divisors (346393824).

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

200432256 is a wasteful number, since it uses less digits than its factorization.

200432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14161 (or 14149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 200432256 is about 14157.4099326113. The cubic root of 200432256 is about 585.2245525554.

Adding to 200432256 its reverse (652234002), we get a palindrome (852666258).

The spelling of 200432256 in words is "two hundred million, four hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14107 14208 28214 42321 56428 84642 112856 169284 225712 338568 451424 521959 677136 902848 1043918 1354272 1565877 1805696 2087836 2708544 3131754 4175672 5417088 6263508 8351344 12527016 16702688 25054032 33405376 50108064 66810752 100216128 200432256