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230383520 = 2556721491
BaseRepresentation
bin11011011101101…
…01111110100000
3121001111200202222
431232311332200
5432434233040
634505530212
75465141033
oct1556657640
9531450688
10230383520
11109055604
12651a3968
1338964a13
142285101a
151535bbb5
hexdbb5fa0

230383520 has 48 divisors (see below), whose sum is σ = 552430368. Its totient is φ = 90773760.

The previous prime is 230383501. The next prime is 230383523. The reversal of 230383520 is 25383032.

It is a self number, because there is not a number n which added to its sum of digits gives 230383520.

It is not an unprimeable number, because it can be changed into a prime (230383523) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26 + ... + 21465.

It is an arithmetic number, because the mean of its divisors is an integer number (11508966).

Almost surely, 2230383520 is an apocalyptic number.

230383520 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 230383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276215184).

230383520 is an abundant number, since it is smaller than the sum of its proper divisors (322046848).

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

230383520 is a wasteful number, since it uses less digits than its factorization.

230383520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21573 (or 21565 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 230383520 is about 15178.3899014355. The cubic root of 230383520 is about 613.0329289235.

The spelling of 230383520 in words is "two hundred thirty million, three hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 5360 10720 21491 42982 85964 107455 171928 214910 343856 429820 687712 859640 1439897 1719280 2879794 3438560 5759588 7199485 11519176 14398970 23038352 28797940 46076704 57595880 115191760 230383520