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2256420 = 223537607
BaseRepresentation
bin1000100110111000100100
311020122020010
420212320210
51034201140
6120210220
725115325
oct10467044
94218203
102256420
111301311
12909970
1361007a
1442a44c
152e8880
hex226e24

2256420 has 24 divisors (see below), whose sum is σ = 6318144. Its totient is φ = 601696.

The previous prime is 2256413. The next prime is 2256431. The reversal of 2256420 is 246522.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18744 + ... + 18863.

It is an arithmetic number, because the mean of its divisors is an integer number (263256).

22256420 is an apocalyptic number.

2256420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256420 is an abundant number, since it is smaller than the sum of its proper divisors (4061724).

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

2256420 is a wasteful number, since it uses less digits than its factorization.

2256420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37619 (or 37617 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2256420 is about 1502.1384756406. The cubic root of 2256420 is about 131.1615821732.

The spelling of 2256420 in words is "two million, two hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 37607 75214 112821 150428 188035 225642 376070 451284 564105 752140 1128210 2256420