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230403492 = 2232112920063
BaseRepresentation
bin11011011101110…
…10110110100100
3121001112201011200
431232322312210
5432440402432
634510202500
75465253204
oct1556726644
9531481150
10230403492
11109069610
12651b3430
1338970b37
1422858404
1515362a7c
hexdbbada4

230403492 has 72 divisors (see below), whose sum is σ = 657296640. Its totient is φ = 67408320.

The previous prime is 230403487. The next prime is 230403529. The reversal of 230403492 is 294304032.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1453 + ... + 21515.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120).

Almost surely, 2230403492 is an apocalyptic number.

230403492 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 230403492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328648320).

230403492 is an abundant number, since it is smaller than the sum of its proper divisors (426893148).

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

230403492 is a wasteful number, since it uses less digits than its factorization.

230403492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20113 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 230403492 is about 15179.0477962223. The cubic root of 230403492 is about 613.0506430665.

The spelling of 230403492 in words is "two hundred thirty million, four hundred three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 20063 40126 60189 80252 120378 180567 220693 240756 361134 441386 581827 662079 722268 882772 1163654 1324158 1745481 1986237 2327308 2648316 3490962 3972474 5236443 6400097 6981924 7944948 10472886 12800194 19200291 20945772 25600388 38400582 57600873 76801164 115201746 230403492