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223878820 = 225113832657
BaseRepresentation
bin11010101100000…
…01111010100100
3120121021020000011
431112001322210
5424303110240
634114300004
75355636634
oct1526017244
9517236004
10223878820
11105412520
1262b87604
13374c8099
1421a3a6c4
15149c46ea
hexd581ea4

223878820 has 48 divisors (see below), whose sum is σ = 514418688. Its totient is φ = 81167360.

The previous prime is 223878817. The next prime is 223878827. The reversal of 223878820 is 28878322.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (223878827) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82932 + ... + 85588.

It is an arithmetic number, because the mean of its divisors is an integer number (10717056).

Almost surely, 2223878820 is an apocalyptic number.

223878820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223878820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257209344).

223878820 is an abundant number, since it is smaller than the sum of its proper divisors (290539868).

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

223878820 is a wasteful number, since it uses less digits than its factorization.

223878820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 223878820 is about 14962.5806597659. The cubic root of 223878820 is about 607.2082585932.

The spelling of 223878820 in words is "two hundred twenty-three million, eight hundred seventy-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 383 766 1532 1915 2657 3830 4213 5314 7660 8426 10628 13285 16852 21065 26570 29227 42130 53140 58454 84260 116908 146135 292270 584540 1017631 2035262 4070524 5088155 10176310 11193941 20352620 22387882 44775764 55969705 111939410 223878820