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2257980 = 223537633
BaseRepresentation
bin1000100111010000111100
311020201100220
420213100330
51034223410
6120221340
725123014
oct10472074
94221326
102257980
1113024aa
1290a850
136109aa
1442ac44
152e9070
hex22743c

2257980 has 24 divisors (see below), whose sum is σ = 6322512. Its totient is φ = 602112.

The previous prime is 2257961. The next prime is 2257987. The reversal of 2257980 is 897522.

2257980 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18757 + ... + 18876.

It is an arithmetic number, because the mean of its divisors is an integer number (263438).

22257980 is an apocalyptic number.

2257980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257980 is an abundant number, since it is smaller than the sum of its proper divisors (4064532).

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

2257980 is a wasteful number, since it uses less digits than its factorization.

2257980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37645 (or 37643 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2257980 is about 1502.6576456399. The cubic root of 2257980 is about 131.1918018623.

The spelling of 2257980 in words is "two million, two hundred fifty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 37633 75266 112899 150532 188165 225798 376330 451596 564495 752660 1128990 2257980