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284766313225 = 521067272
BaseRepresentation
bin1000010010011010110…
…01010001101100001001
31000020000212001120001211
410021031121101230021
514131200134010400
6334453030213121
726400526503352
oct4111531215411
91006025046054
10284766313225
11aa850183a19
12472337b41a1
1320b12a62474
14dad5c8ad29
15761a0d8dba
hex424d651b09

284766313225 has 9 divisors (see below), whose sum is σ = 353113536967. Its totient is φ = 227810916040.

The previous prime is 284766313213. The next prime is 284766313241. The reversal of 284766313225 is 522313667482.

The square root of 284766313225 is 533635.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 102515872761 + 182250440464 = 320181^2 + 426908^2 .

It is not a de Polignac number, because 284766313225 - 223 = 284757924617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2614812 + ... + 2721538.

Almost surely, 2284766313225 is an apocalyptic number.

284766313225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

284766313225 is the 533635-th square number.

284766313225 is the 266818-th centered octagonal number.

It is an amenable number.

284766313225 is a deficient number, since it is larger than the sum of its proper divisors (68347223742).

284766313225 is an frugal number, since it uses more digits than its factorization.

284766313225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213464 (or 106732 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 49.

Multiplying 284766313225 by its sum of digits (49), we get a square (13953549348025 = 37354452).

The spelling of 284766313225 in words is "two hundred eighty-four billion, seven hundred sixty-six million, three hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 5 25 106727 533635 2668175 11390652529 56953262645 284766313225