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224233431440 = 2452802917893
BaseRepresentation
bin1101000011010101011…
…0101010000110010000
3210102210012202112221012
43100311112222012100
512133212224301230
6251002244350052
722125466501424
oct3206526520620
9712705675835
10224233431440
1187107a20997
123755b3a5328
13181b6aa9615
14abd2722b84
155c75bc5395
hex34355aa190

224233431440 has 20 divisors (see below), whose sum is σ = 521342728284. Its totient is φ = 89693372544.

The previous prime is 224233431427. The next prime is 224233431449. The reversal of 224233431440 is 44134332422.

It can be written as a sum of positive squares in 2 ways, for example, as 35015391376 + 189218040064 = 187124^2 + 434992^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 224233431397 and 224233431406.

It is not an unprimeable number, because it can be changed into a prime (224233431449) 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, 1401458867 + ... + 1401459026.

Almost surely, 2224233431440 is an apocalyptic number.

224233431440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224233431440 is an abundant number, since it is smaller than the sum of its proper divisors (297109296844).

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

224233431440 is a wasteful number, since it uses less digits than its factorization.

224233431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802917906 (or 2802917900 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 224233431440 its reverse (44134332422), we get a palindrome (268367763862).

The spelling of 224233431440 in words is "two hundred twenty-four billion, two hundred thirty-three million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2802917893 5605835786 11211671572 14014589465 22423343144 28029178930 44846686288 56058357860 112116715720 224233431440