Search a number
-
+
2204347222440 = 233451125622761
BaseRepresentation
bin100000000100111101010…
…101010100100110101000
321210201210202012022120000
4200010331111110212220
5242104000342104230
64404355123103000
7315154531143666
oct40047525244650
97721722168500
102204347222440
1177a9495a3600
122b7273511a60
1312cb3b3c7acc
147899606bc36
153c517e12b60
hex2013d5549a8

2204347222440 has 240 divisors, whose sum is σ = 8143839797940. Its totient is φ = 534387110400.

The previous prime is 2204347222433. The next prime is 2204347222559. The reversal of 2204347222440 is 442227434022.

2204347222440 is a `hidden beast` number, since 2 + 204 + 3 + 4 + 7 + 2 + 2 + 2 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2166000966756 + 38346255684 = 1471734^2 + 195822^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2204347222395 and 2204347222404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2419341 + ... + 3203420.

Almost surely, 22204347222440 is an apocalyptic number.

2204347222440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2204347222440 is an abundant number, since it is smaller than the sum of its proper divisors (5939492575500).

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

2204347222440 is a wasteful number, since it uses less digits than its factorization.

2204347222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622806 (or 5622782 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 36.

The spelling of 2204347222440 in words is "two trillion, two hundred four billion, three hundred forty-seven million, two hundred twenty-two thousand, four hundred forty".