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2266000 = 245311103
BaseRepresentation
bin1000101001001110010000
311021010100221
420221032100
51040003000
6120322424
725155262
oct10511620
94233327
102266000
111308530
12913414
13614539
1442db32
152eb61a
hex229390

2266000 has 80 divisors (see below), whose sum is σ = 6035328. Its totient is φ = 816000.

The previous prime is 2265979. The next prime is 2266003. The reversal of 2266000 is 6622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2266003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21949 + ... + 22051.

22266000 is an apocalyptic number.

2266000 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 2266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017664).

2266000 is an abundant number, since it is smaller than the sum of its proper divisors (3769328).

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

2266000 is a wasteful number, since it uses less digits than its factorization.

2266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2266000 is about 1505.3238854147. The cubic root of 2266000 is about 131.3469427407.

It can be divided in two parts, 226 and 6000, that added together give a palindrome (6226).

The spelling of 2266000 in words is "two million, two hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 103 110 125 176 200 206 220 250 275 400 412 440 500 515 550 824 880 1000 1030 1100 1133 1375 1648 2000 2060 2200 2266 2575 2750 4120 4400 4532 5150 5500 5665 8240 9064 10300 11000 11330 12875 18128 20600 22000 22660 25750 28325 41200 45320 51500 56650 90640 103000 113300 141625 206000 226600 283250 453200 566500 1133000 2266000