Search a number
-
+
2238805957696 = 26741123472
BaseRepresentation
bin100000100101000011001…
…110111101110001000000
321221000202020101102211221
4200211003032331301000
5243140033311121241
64432254313244424
7320514461440000
oct40450316756100
97830666342757
102238805957696
11793521663400
12301a8b703714
13133170449299
147a504720000
153d3831c85d1
hex209433bdc40

2238805957696 has 315 divisors, whose sum is σ = 5713217870087. Its totient is φ = 869748337920.

The previous prime is 2238805957669. The next prime is 2238805957783. The reversal of 2238805957696 is 6967595088322.

It is a happy number.

The square root of 2238805957696 is 1496264.

It is a perfect power (a square), and thus also a powerful number.

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 44 ways as a sum of consecutive naturals, for example, 6451890195 + ... + 6451890541.

Almost surely, 22238805957696 is an apocalyptic number.

2238805957696 is the 1496264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2238805957696

2238805957696 is an abundant number, since it is smaller than the sum of its proper divisors (3474411912391).

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

2238805957696 is an frugal number, since it uses more digits than its factorization.

2238805957696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 70.

The spelling of 2238805957696 in words is "two trillion, two hundred thirty-eight billion, eight hundred five million, nine hundred fifty-seven thousand, six hundred ninety-six".