Search a number
-
+
83216700 = 223352721737
BaseRepresentation
bin1001111010111…
…00100100111100
312210120211212000
410331130210330
5132300413300
612131342300
72030221200
oct475344474
9183524760
1083216700
1142a78a36
1223a51990
1314318568
14b0a2b00
15748bc00
hex4f5c93c

83216700 has 432 divisors, whose sum is σ = 338415840. Its totient is φ = 17418240.

The previous prime is 83216699. The next prime is 83216719. The reversal of 83216700 is 761238.

83216700 is digitally balanced in base 9, 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 (27).

83216700 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2249082 + ... + 2249118.

It is an arithmetic number, because the mean of its divisors is an integer number (783370).

Almost surely, 283216700 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 83216700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169207920).

83216700 is an abundant number, since it is smaller than the sum of its proper divisors (255199140).

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

83216700 is a wasteful number, since it uses less digits than its factorization.

83216700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 83216700 is about 9122.3187841689. The cubic root of 83216700 is about 436.5863600222.

Adding to 83216700 its reverse (761238), we get a palindrome (83977938).

The spelling of 83216700 in words is "eighty-three million, two hundred sixteen thousand, seven hundred".