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250229052441 = 369721912
BaseRepresentation
bin1110100100001011010…
…0000101010000011001
3212220212220002221000000
43221002310011100121
513044432114134231
6310541553003213
724035623565064
oct3510264052031
9786786087000
10250229052441
119713785a795
12405b5253509
131a79a678a94
14c17add78db
156797eb16e6
hex3a42d05419

250229052441 has 63 divisors (see below), whose sum is σ = 381074680623. Its totient is φ = 164235185280.

The previous prime is 250229052401. The next prime is 250229052449. The reversal of 250229052441 is 144250922052.

The square root of 250229052441 is 500229.

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

250229052441 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 2 + 90 + 524 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112362392025 + 137866660416 = 335205^2 + 371304^2 .

It is not a de Polignac number, because 250229052441 - 27 = 250229052313 is a prime.

It is a super-2 number, since 2×2502290524412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 250229052396 and 250229052405.

It is not an unprimeable number, because it can be changed into a prime (250229052449) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1310099656 + ... + 1310099846.

Almost surely, 2250229052441 is an apocalyptic number.

250229052441 is the 500229-th square number.

250229052441 is the 250115-th centered octagonal number.

It is an amenable number.

250229052441 is a deficient number, since it is larger than the sum of its proper divisors (130845628182).

250229052441 is an frugal number, since it uses more digits than its factorization.

250229052441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 250229052441 by its sum of digits (36), we get a square (9008245887876 = 30013742).

Adding to 250229052441 its reverse (144250922052), we get a palindrome (394479974493).

The spelling of 250229052441 in words is "two hundred fifty billion, two hundred twenty-nine million, fifty-two thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 97 191 243 291 573 729 873 1719 2619 5157 7857 9409 15471 18527 23571 28227 36481 46413 55581 70713 84681 109443 139239 166743 254043 328329 500229 762129 984987 1500687 1797119 2286387 2954961 3538657 4502061 5391357 6859161 8864883 10615971 13506183 16174071 26594649 31847913 48522213 95543739 145566639 286631217 343249729 436699917 859893651 1029749187 1310099751 2579680953 3089247561 9267742683 27803228049 83409684147 250229052441