Search a number
-
+
233200220000 = 25541117232711
BaseRepresentation
bin1101100100101111010…
…0001111011101100000
3211021221010100121102012
43121023310033131200
512310043224020000
6255044122012052
722563630110216
oct3311364173540
9737833317365
10233200220000
118a999498950
1239242347028
1318cb56cbc77
14b403570cb6
1560ecee1735
hex364bd0f760

233200220000 has 480 divisors, whose sum is σ = 691745370624. Its totient is φ = 76313600000.

The previous prime is 233200219961. The next prime is 233200220009. The reversal of 233200220000 is 22002332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233200220009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86018645 + ... + 86021355.

Almost surely, 2233200220000 is an apocalyptic number.

233200220000 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 233200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345872685312).

233200220000 is an abundant number, since it is smaller than the sum of its proper divisors (458545150624).

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

233200220000 is a wasteful number, since it uses less digits than its factorization.

233200220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 233200220000 its reverse (22002332), we get a palindrome (233222222332).

It can be divided in two parts, 23 and 3200220000, that added together give a palindrome (3200220023).

The spelling of 233200220000 in words is "two hundred thirty-three billion, two hundred million, two hundred twenty thousand".