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230494000 = 24531110477
BaseRepresentation
bin11011011110100…
…00111100110000
3121001201022022211
431233100330300
5433001302000
634512141504
75466111112
oct1557207460
9531638284
10230494000
11109120610
1265237894
13389a30a9
142287d3b2
151537e7ba
hexdbd0f30

230494000 has 80 divisors (see below), whose sum is σ = 608059296. Its totient is φ = 83808000.

The previous prime is 230493953. The next prime is 230494009. The reversal of 230494000 is 494032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (230494009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16762 + ... + 27238.

Almost surely, 2230494000 is an apocalyptic number.

230494000 is a gapful number since it is divisible by the number (20) 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 230494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304029648).

230494000 is an abundant number, since it is smaller than the sum of its proper divisors (377565296).

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

230494000 is a wasteful number, since it uses less digits than its factorization.

230494000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10511 (or 10495 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 230494000 is about 15182.0288499265. The cubic root of 230494000 is about 613.1309062073.

The spelling of 230494000 in words is "two hundred thirty million, four hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 10477 11000 20954 22000 41908 52385 83816 104770 115247 167632 209540 230494 261925 419080 460988 523850 576235 838160 921976 1047700 1152470 1309625 1843952 2095400 2304940 2619250 2881175 4190800 4609880 5238500 5762350 9219760 10477000 11524700 14405875 20954000 23049400 28811750 46098800 57623500 115247000 230494000