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230333312 = 2711295641
BaseRepresentation
bin11011011101010…
…01101110000000
3121001102010220102
431232221232000
5432431131222
634504501532
75464541456
oct1556515600
9531363812
10230333312
11109020910
126517a8a8
1338947c01
142283a9d6
151534bd92
hexdba9b80

230333312 has 64 divisors (see below), whose sum is σ = 517935600. Its totient is φ = 101068800.

The previous prime is 230333309. The next prime is 230333329. The reversal of 230333312 is 213333032.

230333312 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 (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38012 + ... + 43652.

Almost surely, 2230333312 is an apocalyptic number.

230333312 is a gapful number since it is divisible by the number (22) 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 230333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258967800).

230333312 is an abundant number, since it is smaller than the sum of its proper divisors (287602288).

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

230333312 is a wasteful number, since it uses less digits than its factorization.

230333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 230333312 is about 15176.7358809462. The cubic root of 230333312 is about 612.9883924718.

Adding to 230333312 its reverse (213333032), we get a palindrome (443666344).

The spelling of 230333312 in words is "two hundred thirty million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 704 928 1276 1408 1856 2552 3712 5104 5641 10208 11282 20416 22564 40832 45128 62051 90256 124102 163589 180512 248204 327178 361024 496408 654356 722048 992816 1308712 1799479 1985632 2617424 3598958 3971264 5234848 7197916 7942528 10469696 14395832 20939392 28791664 57583328 115166656 230333312