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2248008 = 233713381
BaseRepresentation
bin1000100100110101001000
311020012200120
420210311020
51033414013
6120103240
725051650
oct10446510
94205616
102248008
1112a5a64
12904b20
136092a9
14427360
152e6123
hex224d48

2248008 has 32 divisors (see below), whose sum is σ = 6423360. Its totient is φ = 642240.

The previous prime is 2247991. The next prime is 2248013. The reversal of 2248008 is 8008422.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6523 + ... + 6858.

It is an arithmetic number, because the mean of its divisors is an integer number (200730).

22248008 is an apocalyptic number.

2248008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2248008 is an abundant number, since it is smaller than the sum of its proper divisors (4175352).

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

2248008 is a wasteful number, since it uses less digits than its factorization.

2248008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13397 (or 13393 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2248008 is about 1499.3358529696. The cubic root of 2248008 is about 130.9983877975.

The spelling of 2248008 in words is "two million, two hundred forty-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 13381 26762 40143 53524 80286 93667 107048 160572 187334 281001 321144 374668 562002 749336 1124004 2248008