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2257733025 = 325217234721
BaseRepresentation
bin1000011010010010…
…0100010110100001
312211100022201110200
42012210210112201
514110434424100
61012011015413
7106643262012
oct20644442641
95740281420
102257733025
11a59482269
1253013a569
1329c996802
14175bc9009
15d3322e00
hex869245a1

2257733025 has 54 divisors (see below), whose sum is σ = 4295840562. Its totient is φ = 1133260800.

The previous prime is 2257732979. The next prime is 2257733033. The reversal of 2257733025 is 5203377522.

It can be written as a sum of positive squares in 9 ways, for example, as 86545809 + 2171187216 = 9303^2 + 46596^2 .

It is not a de Polignac number, because 2257733025 - 214 = 2257716641 is a prime.

It is a congruent number.

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, 47665 + ... + 82385.

It is an arithmetic number, because the mean of its divisors is an integer number (79552603).

Almost surely, 22257733025 is an apocalyptic number.

2257733025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2257733025 is a deficient number, since it is larger than the sum of its proper divisors (2038107537).

2257733025 is a wasteful number, since it uses less digits than its factorization.

2257733025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34771 (or 34746 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 2257733025 is about 47515.6082250875. The cubic root of 2257733025 is about 1311.8701849006.

The spelling of 2257733025 in words is "two billion, two hundred fifty-seven million, seven hundred thirty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 289 425 765 867 1275 1445 2601 3825 4335 7225 13005 21675 34721 65025 104163 173605 312489 520815 590257 868025 1562445 1770771 2604075 2951285 5312313 7812225 8853855 10034369 14756425 26561565 30103107 44269275 50171845 90309321 132807825 150515535 250859225 451546605 752577675 2257733025