Search a number
-
+
2220737765796 = 22321126723372
BaseRepresentation
bin100000010100001110010…
…010010010000110100100
321212022010000220012010100
4200110032102102012210
5242341032332001141
64420105353224100
7316304644361454
oct40241622220644
97768100805110
102220737765796
1178689a635400
122ba488702030
13131551061184
14796acc21d64
153cb76d500b6
hex2050e4921a4

2220737765796 has 243 divisors, whose sum is σ = 6282355030497. Its totient is φ = 660939713280.

The previous prime is 2220737765783. The next prime is 2220737765797. The reversal of 2220737765796 is 6975677370222.

The square root of 2220737765796 is 1490214.

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

2220737765796 is a `hidden beast` number, since 2 + 2 + 20 + 7 + 37 + 7 + 6 + 579 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 598843822500 + 1621893943296 = 773850^2 + 1273536^2 .

It is not an unprimeable number, because it can be changed into a prime (2220737765797) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6589726140 + ... + 6589726476.

Almost surely, 22220737765796 is an apocalyptic number.

2220737765796 is the 1490214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220737765796

2220737765796 is an abundant number, since it is smaller than the sum of its proper divisors (4061617264701).

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

2220737765796 is a wasteful number, since it uses less digits than its factorization.

2220737765796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 63.

The spelling of 2220737765796 in words is "two trillion, two hundred twenty billion, seven hundred thirty-seven million, seven hundred sixty-five thousand, seven hundred ninety-six".