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2256600 = 233523761
BaseRepresentation
bin1000100110111011011000
311020122110210
420212323120
51034202400
6120211120
725116003
oct10467330
94218423
102256600
111301465
12909aa0
13610188
1442a53a
152e8950
hex226ed8

2256600 has 48 divisors (see below), whose sum is σ = 6997320. Its totient is φ = 601600.

The previous prime is 2256571. The next prime is 2256601. The reversal of 2256600 is 66522.

2256600 is digitally balanced in base 2, 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 (2256601) 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 11 ways as a sum of consecutive naturals, for example, 1281 + ... + 2480.

22256600 is an apocalyptic number.

2256600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256600 is an abundant number, since it is smaller than the sum of its proper divisors (4740720).

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

2256600 is a wasteful number, since it uses less digits than its factorization.

2256600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2256600 is about 1502.1983890286. The cubic root of 2256600 is about 131.1650697711.

The spelling of 2256600 in words is "two million, two hundred fifty-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3761 7522 11283 15044 18805 22566 30088 37610 45132 56415 75220 90264 94025 112830 150440 188050 225660 282075 376100 451320 564150 752200 1128300 2256600