Search a number
-
+
2235435040 = 25513971469
BaseRepresentation
bin1000010100111110…
…0000100000100000
312202210100212101101
42011033200200200
514034232410130
61005453044144
7106252612216
oct20517404040
95683325341
102235435040
11a47932483
12524786654
1329818a437
14172c62cb6
15d13bb1ca
hex853e0820

2235435040 has 24 divisors (see below), whose sum is σ = 5281215660. Its totient is φ = 894173952.

The previous prime is 2235435019. The next prime is 2235435047. The reversal of 2235435040 is 405345322.

It can be written as a sum of positive squares in 2 ways, for example, as 2134070416 + 101364624 = 46196^2 + 10068^2 .

It is not an unprimeable number, because it can be changed into a prime (2235435047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6985575 + ... + 6985894.

Almost surely, 22235435040 is an apocalyptic number.

2235435040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2235435040 is an abundant number, since it is smaller than the sum of its proper divisors (3045780620).

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

2235435040 is a wasteful number, since it uses less digits than its factorization.

2235435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13971484 (or 13971476 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 2235435040 is about 47280.3874772616. The cubic root of 2235435040 is about 1307.5370930035.

The spelling of 2235435040 in words is "two billion, two hundred thirty-five million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13971469 27942938 55885876 69857345 111771752 139714690 223543504 279429380 447087008 558858760 1117717520 2235435040