Search a number
-
+
215010443232 = 253213412127269
BaseRepresentation
bin1100100000111110011…
…1101111111111100000
3202112222110002012121100
43020033213233333200
512010320133140412
6242435135554400
721351105420114
oct3101747577740
9675873065540
10215010443232
1183204876392
123580668ba00
1317377083750
14a599863744
1558d614cedc
hex320f9effe0

215010443232 has 432 divisors, whose sum is σ = 682764526080. Its totient is φ = 63797207040.

The previous prime is 215010443173. The next prime is 215010443239. The reversal of 215010443232 is 232344010512.

215010443232 is a `hidden beast` number, since 215 + 0 + 1 + 0 + 443 + 2 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 215010443196 and 215010443205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215010443239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 799295194 + ... + 799295462.

It is an arithmetic number, because the mean of its divisors is an integer number (1580473440).

Almost surely, 2215010443232 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 215010443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341382263040).

215010443232 is an abundant number, since it is smaller than the sum of its proper divisors (467754082848).

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

215010443232 is a wasteful number, since it uses less digits than its factorization.

215010443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 455 counting only the distinct ones).

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

Adding to 215010443232 its reverse (232344010512), we get a palindrome (447354453744).

The spelling of 215010443232 in words is "two hundred fifteen billion, ten million, four hundred forty-three thousand, two hundred thirty-two".