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230033408 = 2111110211
BaseRepresentation
bin11011011011000…
…00100000000000
3121000211220111212
431231200200000
5432342032113
634454225252
75462152223
oct1555404000
9530756455
10230033408
11108936560
1265055228
1338871557
142279d5ba
15152dd0a8
hexdb60800

230033408 has 48 divisors (see below), whose sum is σ = 501817680. Its totient is φ = 104550400.

The previous prime is 230033393. The next prime is 230033431. The reversal of 230033408 is 804330032.

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, 17423 + ... + 27633.

It is an arithmetic number, because the mean of its divisors is an integer number (10454535).

Almost surely, 2230033408 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 230033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250908840).

230033408 is an abundant number, since it is smaller than the sum of its proper divisors (271784272).

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

230033408 is a wasteful number, since it uses less digits than its factorization.

230033408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10244 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 230033408 is about 15166.8522772525. The cubic root of 230033408 is about 612.7222310624.

The spelling of 230033408 in words is "two hundred thirty million, thirty-three thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 5632 10211 11264 20422 22528 40844 81688 112321 163376 224642 326752 449284 653504 898568 1307008 1797136 2614016 3594272 5228032 7188544 10456064 14377088 20912128 28754176 57508352 115016704 230033408