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2257920 = 21032572
BaseRepresentation
bin1000100111010000000000
311020201021200
420213100000
51034223140
6120221200
725122600
oct10472000
94221250
102257920
111302455
1290a800
13610962
1442ac00
152e9030
hex227400

2257920 has 198 divisors, whose sum is σ = 9100962. Its totient is φ = 516096.

The previous prime is 2257909. The next prime is 2257939. The reversal of 2257920 is 297522.

It is a happy number.

2257920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 451584 = 1344^2 + 672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 322557 + ... + 322563.

22257920 is an apocalyptic number.

2257920 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 2257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550481).

2257920 is an abundant number, since it is smaller than the sum of its proper divisors (6843042).

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

2257920 is a wasteful number, since it uses less digits than its factorization.

2257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2257920 is about 1502.6376808799. The cubic root of 2257920 is about 131.1906398240.

The spelling of 2257920 in words is "two million, two hundred fifty-seven thousand, nine hundred twenty".