Search a number
-
+
2237525338896 = 243437211232
BaseRepresentation
bin100000100011110110111…
…001110010101100010000
321220220102222200021010000
4200203312321302230100
5243124422441321041
64431523245210000
7320440651400331
oct40436671625420
97826388607100
102237525338896
11792a247a3561
12301792860900
13132cc8038b93
147a422606288
153d30aa65bb6
hex208f6e72b10

2237525338896 has 225 divisors, whose sum is σ = 6661738381221. Its totient is φ = 725037692544.

The previous prime is 2237525338891. The next prime is 2237525338931. The reversal of 2237525338896 is 6988335257322.

It is a happy number.

The square root of 2237525338896 is 1495836.

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

2237525338896 is a `hidden beast` number, since 2 + 2 + 3 + 7 + 5 + 2 + 533 + 8 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2002168400400 + 235356938496 = 1414980^2 + 485136^2 .

It is not an unprimeable number, because it can be changed into a prime (2237525338891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1992452991 + ... + 1992454113.

Almost surely, 22237525338896 is an apocalyptic number.

2237525338896 is the 1495836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2237525338896

2237525338896 is an abundant number, since it is smaller than the sum of its proper divisors (4424213042325).

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

2237525338896 is an frugal number, since it uses more digits than its factorization.

2237525338896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 1165 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 2237525338896 in words is "two trillion, two hundred thirty-seven billion, five hundred twenty-five million, three hundred thirty-eight thousand, eight hundred ninety-six".