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229933056 = 21532339
BaseRepresentation
bin11011011010010…
…00000000000000
3121000122210212010
431231020000000
5432330324211
634452132520
75461253523
oct1555100000
9530583763
10229933056
11108878121
1265007140
1338837982
1422774bba
15152bd4a6
hexdb48000

229933056 has 64 divisors (see below), whose sum is σ = 613407600. Its totient is φ = 76611584.

The previous prime is 229933019. The next prime is 229933061. The reversal of 229933056 is 650339922.

229933056 is digitally balanced in base 3, 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 (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97135 + ... + 99473.

Almost surely, 2229933056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229933056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306703800).

229933056 is an abundant number, since it is smaller than the sum of its proper divisors (383474544).

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

229933056 is an frugal number, since it uses more digits than its factorization.

229933056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 229933056 is about 15163.5436491606. The cubic root of 229933056 is about 612.6331181442.

The spelling of 229933056 in words is "two hundred twenty-nine million, nine hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2339 3072 4096 4678 6144 7017 8192 9356 12288 14034 16384 18712 24576 28068 32768 37424 49152 56136 74848 98304 112272 149696 224544 299392 449088 598784 898176 1197568 1796352 2395136 3592704 4790272 7185408 9580544 14370816 19161088 28741632 38322176 57483264 76644352 114966528 229933056