Search a number
-
+
230032896 = 293314831
BaseRepresentation
bin11011011011000…
…00011000000000
3121000211212210220
431231200120000
5432342023041
634454223040
75462150562
oct1555403000
9530755726
10230032896
11108936135
1265054a80
1338871252
142279d332
15152dcd66
hexdb60600

230032896 has 80 divisors (see below), whose sum is σ = 632721408. Its totient is φ = 74188800.

The previous prime is 230032883. The next prime is 230032903. The reversal of 230032896 is 698230032.

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, 45201 + ... + 50031.

Almost surely, 2230032896 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 230032896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316360704).

230032896 is an abundant number, since it is smaller than the sum of its proper divisors (402688512).

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

230032896 is an equidigital number, since it uses as much as digits as its factorization.

230032896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 230032896 is about 15166.8353983288. The cubic root of 230032896 is about 612.7217764705.

The spelling of 230032896 in words is "two hundred thirty million, thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 4831 5952 7936 9662 11904 14493 15872 19324 23808 28986 38648 47616 57972 77296 115944 149761 154592 231888 299522 309184 449283 463776 599044 618368 898566 927552 1198088 1236736 1797132 1855104 2396176 2473472 3594264 3710208 4792352 7188528 7420416 9584704 14377056 19169408 28754112 38338816 57508224 76677632 115016448 230032896