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224310996 = 2232713223229
BaseRepresentation
bin11010101111010…
…11011011010100
3120122002011211200
431113223123110
5424410422441
634131432500
75362416630
oct1527533324
9518064750
10224310996
11105688198
1263155730
1337619a00
1421b0ddc0
1514a5c7b6
hexd5eb6d4

224310996 has 216 divisors, whose sum is σ = 735396480. Its totient is φ = 56339712.

The previous prime is 224310949. The next prime is 224310997. The reversal of 224310996 is 699013422.

224310996 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 self number, because there is not a number n which added to its sum of digits gives 224310996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224310997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 979410 + ... + 979638.

Almost surely, 2224310996 is an apocalyptic number.

224310996 is a gapful number since it is divisible by the number (26) 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 224310996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367698240).

224310996 is an abundant number, since it is smaller than the sum of its proper divisors (511085484).

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

224310996 is a wasteful number, since it uses less digits than its factorization.

224310996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 224310996 is about 14977.0155905641. The cubic root of 224310996 is about 607.5987260166.

The spelling of 224310996 in words is "two hundred twenty-four million, three hundred ten thousand, nine hundred ninety-six".