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225319580768 = 2579365924359
BaseRepresentation
bin1101000111011000010…
…1111111010001100000
3210112120220112122201002
43101312011333101200
512142423303041033
6251302124331132
722164425556512
oct3216605772140
9715526478632
10225319580768
1187615035a67
12378030a3aa8
131832ab1ab29
14ac96a97bb2
155cdb2223e8
hex347617f460

225319580768 has 48 divisors (see below), whose sum is σ = 449354304000. Its totient is φ = 111198751872.

The previous prime is 225319580767. The next prime is 225319580807. The reversal of 225319580768 is 867085913522.

It is a happy number.

225319580768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225319580767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9237773 + ... + 9262131.

It is an arithmetic number, because the mean of its divisors is an integer number (9361548000).

Almost surely, 2225319580768 is an apocalyptic number.

It is an amenable number.

225319580768 is a deficient number, since it is larger than the sum of its proper divisors (224034723232).

225319580768 is a wasteful number, since it uses less digits than its factorization.

225319580768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28107 (or 28099 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 225319580768 in words is "two hundred twenty-five billion, three hundred nineteen million, five hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 79 158 316 632 1264 2528 3659 7318 14636 24359 29272 48718 58544 97436 117088 194872 289061 389744 578122 779488 1156244 1924361 2312488 3848722 4624976 7697444 9249952 15394888 30789776 61579552 89129581 178259162 356518324 713036648 1426073296 2852146592 7041236899 14082473798 28164947596 56329895192 112659790384 225319580768