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230201000 = 23532111091
BaseRepresentation
bin11011011100010…
…01011010101000
3121001011102101222
431232021122220
5432412413000
634502001212
75463450641
oct1556113250
9531142358
10230201000
11108a40467
1265116208
13388cc913
14228046c8
1515322a85
hexdb896a8

230201000 has 64 divisors (see below), whose sum is σ = 541719360. Its totient is φ = 91560000.

The previous prime is 230200991. The next prime is 230201003. The reversal of 230201000 is 102032.

230201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (230201003) 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, 210455 + ... + 211545.

It is an arithmetic number, because the mean of its divisors is an integer number (8464365).

Almost surely, 2230201000 is an apocalyptic number.

230201000 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 230201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270859680).

230201000 is an abundant number, since it is smaller than the sum of its proper divisors (311518360).

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

230201000 is a wasteful number, since it uses less digits than its factorization.

230201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 230201000 is about 15172.3762146870. The cubic root of 230201000 is about 612.8709955649.

Adding to 230201000 its reverse (102032), we get a palindrome (230303032).

The spelling of 230201000 in words is "two hundred thirty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 211 250 422 500 844 1000 1055 1091 1688 2110 2182 4220 4364 5275 5455 8440 8728 10550 10910 21100 21820 26375 27275 42200 43640 52750 54550 105500 109100 136375 211000 218200 230201 272750 460402 545500 920804 1091000 1151005 1841608 2302010 4604020 5755025 9208040 11510050 23020100 28775125 46040200 57550250 115100500 230201000