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229430880 = 253657281
BaseRepresentation
bin11011010110011…
…01011001100000
3120222201022000000
431223031121200
5432213242010
634433300000
75454062460
oct1553153140
9528638000
10229430880
111085648a8
1264a04600
13386c0223
1422683ba0
151521e7c0
hexdacd660

229430880 has 336 divisors, whose sum is σ = 932075424. Its totient is φ = 52254720.

The previous prime is 229430879. The next prime is 229430917. The reversal of 229430880 is 88034922.

229430880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816340 + ... + 816620.

It is an arithmetic number, because the mean of its divisors is an integer number (2774034).

Almost surely, 2229430880 is an apocalyptic number.

229430880 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 229430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466037712).

229430880 is an abundant number, since it is smaller than the sum of its proper divisors (702644544).

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

229430880 is an equidigital number, since it uses as much as digits as its factorization.

229430880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 229430880 is about 15146.9759358098. The cubic root of 229430880 is about 612.1867941921.

The spelling of 229430880 in words is "two hundred twenty-nine million, four hundred thirty thousand, eight hundred eighty".