Search a number
-
+
230254048 = 25531271069
BaseRepresentation
bin11011011100101…
…10010111100000
3121001021010011201
431232112113200
5432421112143
634503050544
75464061413
oct1556262740
9531233151
10230254048
11108a77302
1265140a54
133891aacb
1422819b7a
151533364d
hexdb965e0

230254048 has 48 divisors (see below), whose sum is σ = 465937920. Its totient is φ = 111960576.

The previous prime is 230254007. The next prime is 230254093. The reversal of 230254048 is 840452032.

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, 214858 + ... + 215926.

It is an arithmetic number, because the mean of its divisors is an integer number (9707040).

Almost surely, 2230254048 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 230254048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232968960).

230254048 is an abundant number, since it is smaller than the sum of its proper divisors (235683872).

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

230254048 is a wasteful number, since it uses less digits than its factorization.

230254048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 230254048 is about 15174.1242910423. The cubic root of 230254048 is about 612.9180690406.

The spelling of 230254048 in words is "two hundred thirty million, two hundred fifty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 32 53 106 127 212 254 424 508 848 1016 1069 1696 2032 2138 4064 4276 6731 8552 13462 17104 26924 34208 53848 56657 107696 113314 135763 215392 226628 271526 453256 543052 906512 1086104 1813024 2172208 4344416 7195439 14390878 28781756 57563512 115127024 230254048