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223514928 = 243271337461
BaseRepresentation
bin11010101001010…
…01000100110000
3120120120201211200
431110221010300
5424204434203
634102411200
75352563010
oct1524510460
9516521750
10223514928
1110519408a
1262a30b00
13373cb570
1421983c40
15149519a3
hexd529130

223514928 has 240 divisors, whose sum is σ = 792407616. Its totient is φ = 57231360.

The previous prime is 223514927. The next prime is 223514947. The reversal of 223514928 is 829415322.

It is a happy number.

223514928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223514892 and 223514901.

It is not an unprimeable number, because it can be changed into a prime (223514927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484618 + ... + 485078.

Almost surely, 2223514928 is an apocalyptic number.

223514928 is a gapful number since it is divisible by the number (28) 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 223514928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396203808).

223514928 is an abundant number, since it is smaller than the sum of its proper divisors (568892688).

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

223514928 is a wasteful number, since it uses less digits than its factorization.

223514928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 523 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 223514928 is about 14950.4156463959. The cubic root of 223514928 is about 606.8790953271.

The spelling of 223514928 in words is "two hundred twenty-three million, five hundred fourteen thousand, nine hundred twenty-eight".