Search a number
-
+
2256203232 = 25327834039
BaseRepresentation
bin1000011001111010…
…1110110111100000
312211020102222222200
42012132232313200
514110042000412
61011514133200
7106624260663
oct20636566740
95736388880
102256203232
11a58627978
1252b721200
1329c57c3ca
1417590b6da
15d311e9dc
hex867aede0

2256203232 has 36 divisors (see below), whose sum is σ = 6416078760. Its totient is φ = 752067648.

The previous prime is 2256203153. The next prime is 2256203251. The reversal of 2256203232 is 2323026522.

2256203232 is a `hidden beast` number, since 2 + 2 + 5 + 620 + 3 + 2 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2256203196 and 2256203205.

It is a congruent number.

It is an unprimeable number.

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, 3916732 + ... + 3917307.

It is an arithmetic number, because the mean of its divisors is an integer number (178224410).

Almost surely, 22256203232 is an apocalyptic number.

It is an amenable number.

2256203232 is an abundant number, since it is smaller than the sum of its proper divisors (4159875528).

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

2256203232 is a wasteful number, since it uses less digits than its factorization.

2256203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7834055 (or 7834044 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2256203232 is about 47499.5077027120. The cubic root of 2256203232 is about 1311.5738192912.

Adding to 2256203232 its reverse (2323026522), we get a palindrome (4579229754).

The spelling of 2256203232 in words is "two billion, two hundred fifty-six million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7834039 15668078 23502117 31336156 47004234 62672312 70506351 94008468 125344624 141012702 188016936 250689248 282025404 376033872 564050808 752067744 1128101616 2256203232