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2023065216225 = 325229210691321
BaseRepresentation
bin11101011100001000000…
…101010110010011100001
321011101212220010020101200
4131130020011112103201
5231121214143404400
64145214444351413
7266106304415304
oct35341005262341
97141786106350
102023065216225
1170aa82634159
12288100545569
13118a0aca8801
146dcb9cb6b3b
1537957dc0b00
hex1d7081564e1

2023065216225 has 54 divisors (see below), whose sum is σ = 3752793009186. Its totient is φ = 1041762220800.

The previous prime is 2023065216071. The next prime is 2023065216241. The reversal of 2023065216225 is 5226125603202.

2023065216225 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 0 + 6 + 5 + 21 + 622 + 5 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 942330323169 + 1080734893056 = 970737^2 + 1039584^2 .

It is not a de Polignac number, because 2023065216225 - 29 = 2023065215713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2023065216225.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5156436 + ... + 5534885.

Almost surely, 22023065216225 is an apocalyptic number.

2023065216225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2023065216225 is a deficient number, since it is larger than the sum of its proper divisors (1729727792961).

2023065216225 is a wasteful number, since it uses less digits than its factorization.

2023065216225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10691395 (or 10691358 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2023065216225 in words is "two trillion, twenty-three billion, sixty-five million, two hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 841 1305 2175 2523 4205 6525 7569 12615 21025 37845 63075 189225 10691321 32073963 53456605 96221889 160369815 267283025 310048309 481109445 801849075 930144927 1550241545 2405547225 2790434781 4650724635 7751207725 8991400961 13952173905 23253623175 26974202883 44957004805 69760869525 80922608649 134871014415 224785024025 404613043245 674355072075 2023065216225