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223987920 = 2435131741103
BaseRepresentation
bin11010101100111…
…00100011010000
3120121110202122220
431112130203100
5424320103140
634120501040
75356603002
oct1526344320
9517422586
10223987920
11105487492
126301a780
1337535940
1421a68372
15149e6bd0
hexd59c8d0

223987920 has 320 divisors, whose sum is σ = 818947584. Its totient is φ = 50135040.

The previous prime is 223987873. The next prime is 223987943. The reversal of 223987920 is 29789322.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2174589 + ... + 2174691.

Almost surely, 2223987920 is an apocalyptic number.

223987920 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 223987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

223987920 is an abundant number, since it is smaller than the sum of its proper divisors (594959664).

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

223987920 is a wasteful number, since it uses less digits than its factorization.

223987920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 223987920 is about 14966.2259771794. The cubic root of 223987920 is about 607.3068769185.

The spelling of 223987920 in words is "two hundred twenty-three million, nine hundred eighty-seven thousand, nine hundred twenty".