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230231008 = 2572359409
BaseRepresentation
bin11011011100100…
…00101111100000
3121001012221120101
431232100233200
5432414343013
634502352144
75463634300
oct1556205740
9531187511
10230231008
11108a60a67
126512b654
1338910487
1422811600
151532b8dd
hexdb90be0

230231008 has 72 divisors (see below), whose sum is σ = 530031600. Its totient is φ = 98155008.

The previous prime is 230231003. The next prime is 230231021. The reversal of 230231008 is 800132032.

It is a happy number.

230231008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230231003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562708 + ... + 563116.

It is an arithmetic number, because the mean of its divisors is an integer number (7361550).

Almost surely, 2230231008 is an apocalyptic number.

230231008 is a gapful number since it is divisible by the number (28) 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 230231008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265015800).

230231008 is an abundant number, since it is smaller than the sum of its proper divisors (299800592).

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

230231008 is a wasteful number, since it uses less digits than its factorization.

230231008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 230231008 is about 15173.3650849111. The cubic root of 230231008 is about 612.8976248059.

The spelling of 230231008 in words is "two hundred thirty million, two hundred thirty-one thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 359 392 409 718 784 818 1436 1568 1636 2513 2863 2872 3272 5026 5726 5744 6544 10052 11452 11488 13088 17591 20041 20104 22904 35182 40082 40208 45808 70364 80164 80416 91616 140728 146831 160328 281456 293662 320656 562912 587324 641312 1027817 1174648 2055634 2349296 4111268 4698592 7194719 8222536 14389438 16445072 28778876 32890144 57557752 115115504 230231008