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2259801 = 32257977
BaseRepresentation
bin1000100111101101011001
311020210212100
420213231121
51034303201
6120234013
725131225
oct10475531
94223770
102259801
111303905
1290b909
1361177b
1442b785
152e9886
hex227b59

2259801 has 12 divisors (see below), whose sum is σ = 3280212. Its totient is φ = 1499136.

The previous prime is 2259791. The next prime is 2259811. The reversal of 2259801 is 1089522.

It is an interprime number because it is at equal distance from previous prime (2259791) and next prime (2259811).

It can be written as a sum of positive squares in 2 ways, for example, as 2178576 + 81225 = 1476^2 + 285^2 .

It is not a de Polignac number, because 2259801 - 25 = 2259769 is a prime.

2259801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2259811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1825 + ... + 2801.

It is an arithmetic number, because the mean of its divisors is an integer number (273351).

22259801 is an apocalyptic number.

It is an amenable number.

2259801 is a deficient number, since it is larger than the sum of its proper divisors (1020411).

2259801 is a wasteful number, since it uses less digits than its factorization.

2259801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2259801 is about 1503.2634499648. The cubic root of 2259801 is about 131.2270599363.

It can be divided in two parts, 225 and 9801, that multiplied together give a square (2205225 = 14852).

The spelling of 2259801 in words is "two million, two hundred fifty-nine thousand, eight hundred one".

Divisors: 1 3 9 257 771 977 2313 2931 8793 251089 753267 2259801