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281414335225 = 52172794
BaseRepresentation
bin1000001100001011001…
…10011111101011111001
3222220101020201102200111
410012011212133223321
514102314032211400
6333140245504321
726221465244632
oct4060546375371
9886336642614
10281414335225
11a9390068271
12466591120a1
13206ca48162a
14d898a20889
1574c0bba3ba
hex418599faf9

281414335225 has 45 divisors (see below), whose sum is σ = 375440329997. Its totient is φ = 209206308480.

The previous prime is 281414335201. The next prime is 281414335243. The reversal of 281414335225 is 522533414182.

The square root of 281414335225 is 530485.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6582563689 + 274831771536 = 81133^2 + 524244^2 .

It is not a de Polignac number, because 281414335225 - 229 = 280877464313 is a prime.

It is a Duffinian number.

Its product of digits (230400) is a multiple of the sum of its prime factors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3562206736 + ... + 3562206814.

Almost surely, 2281414335225 is an apocalyptic number.

281414335225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

281414335225 is the 530485-th square number.

281414335225 is the 265243-rd centered octagonal number.

It is an amenable number.

281414335225 is a deficient number, since it is larger than the sum of its proper divisors (94025994772).

281414335225 is an frugal number, since it uses more digits than its factorization.

281414335225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 101 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The spelling of 281414335225 in words is "two hundred eighty-one billion, four hundred fourteen million, three hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 17 25 79 85 289 395 425 1343 1445 1975 6241 6715 7225 22831 31205 33575 106097 114155 156025 493039 530485 570775 1803649 2465195 2652425 8381663 9018245 12325975 38950081 41908315 45091225 142488271 194750405 209541575 662151377 712441355 973752025 3310756885 3562206775 11256573409 16553784425 56282867045 281414335225