Search a number
-
+
233487104 = 281815039
BaseRepresentation
bin11011110101010…
…11101100000000
3121021100101002112
431322223230000
5434233041404
635100234452
75533415264
oct1572535400
9537311075
10233487104
1110a885354
126623ba28
13394b0566
142301c0a4
151577156e
hexdeabb00

233487104 has 36 divisors (see below), whose sum is σ = 468730080. Its totient is φ = 116075520.

The previous prime is 233487073. The next prime is 233487109. The reversal of 233487104 is 401784332.

233487104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2334871043 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233487109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43817 + ... + 48855.

It is an arithmetic number, because the mean of its divisors is an integer number (13020280).

Almost surely, 2233487104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233487104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234365040).

233487104 is an abundant number, since it is smaller than the sum of its proper divisors (235242976).

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

233487104 is an equidigital number, since it uses as much as digits as its factorization.

233487104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 233487104 is about 15280.2848140995. The cubic root of 233487104 is about 615.7734591722.

The spelling of 233487104 in words is "two hundred thirty-three million, four hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 724 1448 2896 5039 5792 10078 11584 20156 23168 40312 46336 80624 161248 322496 644992 912059 1289984 1824118 3648236 7296472 14592944 29185888 58371776 116743552 233487104