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223825040 = 2452797813
BaseRepresentation
bin11010101011101…
…00110010010000
3120121011111020022
431111310302100
5424244400130
634113203012
75355324065
oct1525646220
9517144208
10223825040
1110538607a
1262b60468
13374a976a
1421a24c6c
15149b37e5
hexd574c90

223825040 has 20 divisors (see below), whose sum is σ = 520393404. Its totient is φ = 89529984.

The previous prime is 223825039. The next prime is 223825097. The reversal of 223825040 is 40528322.

It can be written as a sum of positive squares in 2 ways, for example, as 25240576 + 198584464 = 5024^2 + 14092^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1398827 + ... + 1398986.

Almost surely, 2223825040 is an apocalyptic number.

223825040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223825040 is an abundant number, since it is smaller than the sum of its proper divisors (296568364).

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

223825040 is a wasteful number, since it uses less digits than its factorization.

223825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797826 (or 2797820 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 223825040 is about 14960.7834019479. The cubic root of 223825040 is about 607.1596336640.

The spelling of 223825040 in words is "two hundred twenty-three million, eight hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2797813 5595626 11191252 13989065 22382504 27978130 44765008 55956260 111912520 223825040