Search a number
-
+
212163133600 = 255211971991249
BaseRepresentation
bin1100010110010111101…
…0001000000010100000
3202021122000100220002001
43011211322020002200
511434002230233400
6241244424133344
721220412610625
oct3054572100240
9667560326061
10212163133600
1181a83615530
1235151007254
1317012200852
14a3a964634c
1557bb1baa6a
hex3165e880a0

212163133600 has 288 divisors, whose sum is σ = 574182000000. Its totient is φ = 75910348800.

The previous prime is 212163133597. The next prime is 212163133601. The reversal of 212163133600 is 6331361212.

It is not an unprimeable number, because it can be changed into a prime (212163133601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169865776 + ... + 169867024.

It is an arithmetic number, because the mean of its divisors is an integer number (1993687500).

Almost surely, 2212163133600 is an apocalyptic number.

212163133600 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 212163133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287091000000).

212163133600 is an abundant number, since it is smaller than the sum of its proper divisors (362018866400).

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

212163133600 is a wasteful number, since it uses less digits than its factorization.

212163133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 212163133600 its reverse (6331361212), we get a palindrome (218494494812).

The spelling of 212163133600 in words is "two hundred twelve billion, one hundred sixty-three million, one hundred thirty-three thousand, six hundred".