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2257703540 = 225415351949
BaseRepresentation
bin1000011010010001…
…1101001001110100
312211100021020000122
42012210131021310
514110433003130
61012010231112
7106643110031
oct20644351164
95740236018
102257703540
11a594620a4
12530125498
1329c986271
14175bbc388
15d33192e5
hex8691d274

2257703540 has 48 divisors (see below), whose sum is σ = 4948549200. Its totient is φ = 864414720.

The previous prime is 2257703537. The next prime is 2257703543. The reversal of 2257703540 is 453077522.

It is an interprime number because it is at equal distance from previous prime (2257703537) and next prime (2257703543).

It can be written as a sum of positive squares in 8 ways, for example, as 326452624 + 1931250916 = 18068^2 + 43946^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2257703540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257703543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17486 + ... + 69434.

It is an arithmetic number, because the mean of its divisors is an integer number (103094775).

Almost surely, 22257703540 is an apocalyptic number.

2257703540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257703540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474274600).

2257703540 is an abundant number, since it is smaller than the sum of its proper divisors (2690845660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2257703540 is a wasteful number, since it uses less digits than its factorization.

2257703540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52052 (or 52050 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 2257703540 is about 47515.2979576052. The cubic root of 2257703540 is about 1311.8644740600.

The spelling of 2257703540 in words is "two billion, two hundred fifty-seven million, seven hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 1060 2173 4346 8692 10865 21730 43460 51949 103898 207796 259745 519490 1038980 2129909 2753297 4259818 5506594 8519636 10649545 11013188 13766485 21299090 27532970 42598180 55065940 112885177 225770354 451540708 564425885 1128851770 2257703540