Search a number
-
+
215243245200 = 243521814432237
BaseRepresentation
bin1100100001110101111…
…1110100011010010000
3202120120200010202212110
43020131133310122100
512011304232321300
6242514213425320
721356633253054
oct3103537643220
9676520122773
10215243245200
1183314222a05
123587063b240
13173b33841a9
14a5bc743c64
1558eb7d6550
hex321d7f4690

215243245200 has 240 divisors, whose sum is σ = 695180880576. Its totient is φ = 56926771200.

The previous prime is 215243245193. The next prime is 215243245211. The reversal of 215243245200 is 2542342512.

215243245200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96218482 + ... + 96220718.

Almost surely, 2215243245200 is an apocalyptic number.

215243245200 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 215243245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347590440288).

215243245200 is an abundant number, since it is smaller than the sum of its proper divisors (479937635376).

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

215243245200 is a wasteful number, since it uses less digits than its factorization.

215243245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 215243245200 its reverse (2542342512), we get a palindrome (217785587712).

The spelling of 215243245200 in words is "two hundred fifteen billion, two hundred forty-three million, two hundred forty-five thousand, two hundred".