Search a number
-
+
230263248 = 24329831993
BaseRepresentation
bin11011011100110…
…00100111010000
3121001021120210110
431232120213100
5432421410443
634503201320
75464130265
oct1556304720
9531246713
10230263248
11108a83206
1265146240
1338922057
142281d26c
1515336233
hexdb989d0

230263248 has 80 divisors (see below), whose sum is σ = 623085120. Its totient is φ = 73178112.

The previous prime is 230263213. The next prime is 230263279. The reversal of 230263248 is 842362032.

230263248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114540 + ... + 116532.

It is an arithmetic number, because the mean of its divisors is an integer number (7788564).

Almost surely, 2230263248 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 230263248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311542560).

230263248 is an abundant number, since it is smaller than the sum of its proper divisors (392821872).

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

230263248 is a wasteful number, since it uses less digits than its factorization.

230263248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 230263248 is about 15174.4274356563. The cubic root of 230263248 is about 612.9262321560.

The spelling of 230263248 in words is "two hundred thirty million, two hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 83 87 116 166 174 232 249 332 348 464 498 664 696 996 1328 1392 1992 1993 2407 3984 3986 4814 5979 7221 7972 9628 11958 14442 15944 19256 23916 28884 31888 38512 47832 57768 57797 95664 115536 115594 165419 173391 231188 330838 346782 462376 496257 661676 693564 924752 992514 1323352 1387128 1985028 2646704 2774256 3970056 4797151 7940112 9594302 14391453 19188604 28782906 38377208 57565812 76754416 115131624 230263248