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2257780 = 225716127
BaseRepresentation
bin1000100111001101110100
311020201002111
420213031310
51034222110
6120220404
725122310
oct10471564
94221074
102257780
111302338
1290a704
13610885
1442ab40
152e8e8a
hex227374

2257780 has 24 divisors (see below), whose sum is σ = 5419008. Its totient is φ = 774048.

The previous prime is 2257771. The next prime is 2257781. The reversal of 2257780 is 877522.

2257780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7924 + ... + 8203.

It is an arithmetic number, because the mean of its divisors is an integer number (225792).

22257780 is an apocalyptic number.

2257780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257780 is an abundant number, since it is smaller than the sum of its proper divisors (3161228).

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

2257780 is a wasteful number, since it uses less digits than its factorization.

2257780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16143 (or 16141 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 2257780 is about 1502.5910954082. The cubic root of 2257780 is about 131.1879283212.

The spelling of 2257780 in words is "two million, two hundred fifty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 16127 32254 64508 80635 112889 161270 225778 322540 451556 564445 1128890 2257780