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2266240 = 2753541
BaseRepresentation
bin1000101001010010000000
311021010200211
420221102000
51040004430
6120323504
725156054
oct10512200
94233624
102266240
111308729
12913594
13614692
1442dc64
152eb72a
hex229480

2266240 has 32 divisors (see below), whose sum is σ = 5419260. Its totient is φ = 906240.

The previous prime is 2266237. The next prime is 2266247. The reversal of 2266240 is 426622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 28224 = 1496^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 211 + 213 + 66 + 66 + 221 + 48 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2266247) 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, 1131 + ... + 2410.

22266240 is an apocalyptic number.

2266240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2266240 is an abundant number, since it is smaller than the sum of its proper divisors (3153020).

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

2266240 is an equidigital number, since it uses as much as digits as its factorization.

2266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2266240 is about 1505.4036003677. The cubic root of 2266240 is about 131.3515797153.

The spelling of 2266240 in words is "two million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3541 7082 14164 17705 28328 35410 56656 70820 113312 141640 226624 283280 453248 566560 1133120 2266240