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282231875025 = 325210723312
BaseRepresentation
bin1000001101101100101…
…01001010010111010001
3222222111020001202110100
410012312111022113101
514111002330000100
6333353332323013
726250653232612
oct4066625122721
9888436052410
10282231875025
11a976a598aa1
1246846a73469
13207ca965ba9
14d935433c09
15751c859400
hex41b654a5d1

282231875025 has 81 divisors (see below), whose sum is σ = 511823460603. Its totient is φ = 148666399200.

The previous prime is 282231874993. The next prime is 282231875041. The reversal of 282231875025 is 520578132282.

The square root of 282231875025 is 531255.

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

282231875025 is a `hidden beast` number, since 282 + 2 + 318 + 7 + 50 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101603475009 + 180628400016 = 318753^2 + 425004^2 .

It is not a de Polignac number, because 282231875025 - 25 = 282231874993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 852664110 + ... + 852664440.

Almost surely, 2282231875025 is an apocalyptic number.

282231875025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

282231875025 is the 531255-th square number.

282231875025 is the 265628-th centered octagonal number.

It is an amenable number.

282231875025 is a deficient number, since it is larger than the sum of its proper divisors (229591585578).

282231875025 is an equidigital number, since it uses as much as digits as its factorization.

282231875025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 282231875025 in words is "two hundred eighty-two billion, two hundred thirty-one million, eight hundred seventy-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 107 225 321 331 535 963 993 1605 1655 2675 2979 4815 4965 8025 8275 11449 14895 24075 24825 34347 35417 57245 74475 103041 106251 109561 171735 177085 286225 318753 328683 515205 531255 547805 858675 885425 986049 1593765 1643415 2576025 2656275 2739025 3789619 4930245 7968825 8217075 11368857 11723027 18948095 24651225 34106571 35169081 56844285 58615135 94740475 105507243 170532855 175845405 284221425 293075675 527536215 852664275 879227025 1254363889 2637681075 3763091667 6271819445 11289275001 18815458335 31359097225 56446375005 94077291675 282231875025