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2257241120 = 25514107757
BaseRepresentation
bin1000011010001010…
…1100010000100000
312211022101201200222
42012202230100200
514110323203440
61011552302212
7106636142621
oct20642542040
95738351628
102257241120
11a59176732
1252bb41968
1329c853944
14175adba48
15d32772b5
hex868ac420

2257241120 has 24 divisors (see below), whose sum is σ = 5332732524. Its totient is φ = 902896384.

The previous prime is 2257241093. The next prime is 2257241123. The reversal of 2257241120 is 211427522.

It can be written as a sum of positive squares in 2 ways, for example, as 2201111056 + 56130064 = 46916^2 + 7492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2257241120.

It is not an unprimeable number, because it can be changed into a prime (2257241123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7053719 + ... + 7054038.

Almost surely, 22257241120 is an apocalyptic number.

2257241120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257241120 is an abundant number, since it is smaller than the sum of its proper divisors (3075491404).

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

2257241120 is a wasteful number, since it uses less digits than its factorization.

2257241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14107772 (or 14107764 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2257241120 is about 47510.4316966285. The cubic root of 2257241120 is about 1311.7749031338.

Adding to 2257241120 its reverse (211427522), we get a palindrome (2468668642).

The spelling of 2257241120 in words is "two billion, two hundred fifty-seven million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 14107757 28215514 56431028 70538785 112862056 141077570 225724112 282155140 451448224 564310280 1128620560 2257241120