Search a number
-
+
221660146030500 = 223253232161991043
BaseRepresentation
bin110010011001100101000110…
…010000111101011110100100
31002001211111120200201222010200
4302121211012100331132210
5213023134434340434000
62103233133150350500
764455263024636202
oct6231450620753644
91061744520658120
10221660146030500
116469a5a38477a1
1220a3b27a4bb430
13968b601264cb8
143ca45a0596072
151a95d509a5500
hexc9994643d7a4

221660146030500 has 288 divisors, whose sum is σ = 730005040058112. Its totient is φ = 56513179008000.

The previous prime is 221660146030447. The next prime is 221660146030549. The reversal of 221660146030500 is 5030641066122.

221660146030500 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 6 + 0 + 146 + 0 + 3 + 0 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 223167979 + ... + 224159021.

It is an arithmetic number, because the mean of its divisors is an integer number (2534739722424).

Almost surely, 2221660146030500 is an apocalyptic number.

221660146030500 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 221660146030500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365002520029056).

221660146030500 is an abundant number, since it is smaller than the sum of its proper divisors (508344894027612).

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

221660146030500 is a wasteful number, since it uses less digits than its factorization.

221660146030500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993252 (or 993237 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 221660146030500 its reverse (5030641066122), we get a palindrome (226690787096622).

The spelling of 221660146030500 in words is "two hundred twenty-one trillion, six hundred sixty billion, one hundred forty-six million, thirty thousand, five hundred".