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2257382525 = 5290295301
BaseRepresentation
bin1000011010001100…
…1110110001111101
312211022122220200012
42012203032301331
514110342220100
61011555313005
7106640302106
oct20643166175
95738586605
102257382525
11a592629a2
1252bbab765
1329c8a3108
14175b373ad
15d32a4135
hex868cec7d

2257382525 has 6 divisors (see below), whose sum is σ = 2799154362. Its totient is φ = 1805906000.

The previous prime is 2257382497. The next prime is 2257382527. The reversal of 2257382525 is 5252837522.

It can be written as a sum of positive squares in 3 ways, for example, as 230402041 + 2026980484 = 15179^2 + 45022^2 .

It is not a de Polignac number, because 2257382525 - 226 = 2190273661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257382527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45147626 + ... + 45147675.

It is an arithmetic number, because the mean of its divisors is an integer number (466525727).

Almost surely, 22257382525 is an apocalyptic number.

2257382525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2257382525 is a deficient number, since it is larger than the sum of its proper divisors (541771837).

2257382525 is an equidigital number, since it uses as much as digits as its factorization.

2257382525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90295311 (or 90295306 counting only the distinct ones).

The product of its digits is 336000, while the sum is 41.

The square root of 2257382525 is about 47511.9198201883. The cubic root of 2257382525 is about 1311.8022946333.

The spelling of 2257382525 in words is "two billion, two hundred fifty-seven million, three hundred eighty-two thousand, five hundred twenty-five".

Divisors: 1 5 25 90295301 451476505 2257382525