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315022144 = 2637133033
BaseRepresentation
bin10010110001101…
…101101101000000
3210221202210010211
4102301231231000
51121121202034
651132003504
710543433623
oct2261555500
9727683124
10315022144
11151904888
1289600594
135035a548
142dba3dba
151c9c9d64
hex12c6db40

315022144 has 28 divisors (see below), whose sum is σ = 642022084. Its totient is φ = 153252864.

The previous prime is 315022133. The next prime is 315022159. The reversal of 315022144 is 441220513.

It can be written as a sum of positive squares in 2 ways, for example, as 123476544 + 191545600 = 11112^2 + 13840^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 64149 + ... + 68884.

Almost surely, 2315022144 is an apocalyptic number.

It is an amenable number.

315022144 is an abundant number, since it is smaller than the sum of its proper divisors (326999940).

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

315022144 is a wasteful number, since it uses less digits than its factorization.

315022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133082 (or 133072 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 315022144 is about 17748.8631748628. The cubic root of 315022144 is about 680.4251551176.

Adding to 315022144 its reverse (441220513), we get a palindrome (756242657).

The spelling of 315022144 in words is "three hundred fifteen million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 133033 266066 532132 1064264 2128528 4257056 4922221 8514112 9844442 19688884 39377768 78755536 157511072 315022144