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216042325200 = 24345213512921
BaseRepresentation
bin1100100100110100100…
…0000100010011010000
3202122122100202020120000
43021031020010103100
512014423313401300
6243125400450000
721415505315262
oct3111510042320
9678570666500
10216042325200
11836942955a9
1235a54179900
13174acaa43b0
14a65690db32
155946a2ac00
hex324d2044d0

216042325200 has 300 divisors, whose sum is σ = 835003163148. Its totient is φ = 53179545600.

The previous prime is 216042325181. The next prime is 216042325201. The reversal of 216042325200 is 2523240612.

It is a happy number.

216042325200 is a `hidden beast` number, since 2 + 1 + 604 + 2 + 3 + 2 + 52 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 83234558016 + 132807767184 = 288504^2 + 364428^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216042325201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 164740 + ... + 677660.

Almost surely, 2216042325200 is an apocalyptic number.

216042325200 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 216042325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417501581574).

216042325200 is an abundant number, since it is smaller than the sum of its proper divisors (618960837948).

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

216042325200 is a wasteful number, since it uses less digits than its factorization.

216042325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512964 (or 512944 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 216042325200 its reverse (2523240612), we get a palindrome (218565565812).

The spelling of 216042325200 in words is "two hundred sixteen billion, forty-two million, three hundred twenty-five thousand, two hundred".