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223768820 = 225111017131
BaseRepresentation
bin11010101011001…
…11000011110100
3120121001122010002
431111213003310
5424241100240
634112050432
75355001142
oct1525470364
9517048102
10223768820
11105347910
1262b33a18
1337489cb2
1421a0c592
15149a1d15
hexd5670f4

223768820 has 24 divisors (see below), whose sum is σ = 512634528. Its totient is φ = 81370400.

The previous prime is 223768799. The next prime is 223768823. The reversal of 223768820 is 28867322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223768823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508346 + ... + 508785.

It is an arithmetic number, because the mean of its divisors is an integer number (21359772).

Almost surely, 2223768820 is an apocalyptic number.

223768820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223768820 is an abundant number, since it is smaller than the sum of its proper divisors (288865708).

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

223768820 is a wasteful number, since it uses less digits than its factorization.

223768820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017151 (or 1017149 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 223768820 is about 14958.9043716443. The cubic root of 223768820 is about 607.1087942926.

The spelling of 223768820 in words is "two hundred twenty-three million, seven hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1017131 2034262 4068524 5085655 10171310 11188441 20342620 22376882 44753764 55942205 111884410 223768820