Search a number
-
+
200440115232 = 2537431692051
BaseRepresentation
bin1011101010101100101…
…0010111000000100000
3201011101000102212002120
42322223022113000200
511241000132141412
6232025251144240
720324043603540
oct2725312270040
9634330385076
10200440115232
11780082462a5
1232a1aba5080
1315b945678a6
1499b6729320
155331e0db8c
hex2eab297020

200440115232 has 96 divisors (see below), whose sum is σ = 602716391424. Its totient is φ = 57135648000.

The previous prime is 200440115209. The next prime is 200440115233. The reversal of 200440115232 is 232511044002.

It is a tau number, because it is divible by the number of its divisors (96).

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 (200440115233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56394 + ... + 635657.

It is an arithmetic number, because the mean of its divisors is an integer number (6278295744).

Almost surely, 2200440115232 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 200440115232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301358195712).

200440115232 is an abundant number, since it is smaller than the sum of its proper divisors (402276276192).

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

200440115232 is a wasteful number, since it uses less digits than its factorization.

200440115232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692502 (or 692494 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 200440115232 its reverse (232511044002), we get a palindrome (432951159234).

The spelling of 200440115232 in words is "two hundred billion, four hundred forty million, one hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 431 672 862 1293 1724 2586 3017 3448 5172 6034 6896 9051 10344 12068 13792 18102 20688 24136 36204 41376 48272 72408 96544 144816 289632 692051 1384102 2076153 2768204 4152306 4844357 5536408 8304612 9688714 11072816 14533071 16609224 19377428 22145632 29066142 33218448 38754856 58132284 66436896 77509712 116264568 155019424 232529136 298273981 465058272 596547962 894821943 1193095924 1789643886 2087917867 2386191848 3579287772 4175835734 4772383696 6263753601 7158575544 8351671468 9544767392 12527507202 14317151088 16703342936 25055014404 28634302176 33406685872 50110028808 66813371744 100220057616 200440115232