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2237082593344 = 263123721632
BaseRepresentation
bin100000100011011100100…
…000110110100001000000
321220212022010120110101121
4200203130200312201000
5243123021120441334
64431411311442024
7320423664204064
oct40433440664100
97825263513347
102237082593344
11792817892245
1230168a526314
13132c573ac171
147a3bd8b5aa4
153d2d1c5bdb4
hex208dc836840

2237082593344 has 189 divisors, whose sum is σ = 4743454785741. Its totient is φ = 1046742289920.

The previous prime is 2237082593341. The next prime is 2237082593423. The reversal of 2237082593344 is 4433952807322.

The square root of 2237082593344 is 1495688.

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

It can be written as a sum of positive squares in only one way, i.e., 2001772225600 + 235310367744 = 1414840^2 + 485088^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2237082593291 and 2237082593300.

It is not an unprimeable number, because it can be changed into a prime (2237082593341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13724433007 + ... + 13724433169.

It is an arithmetic number, because the mean of its divisors is an integer number (25097644369).

Almost surely, 22237082593344 is an apocalyptic number.

2237082593344 is the 1495688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2237082593344

2237082593344 is an abundant number, since it is smaller than the sum of its proper divisors (2506372192397).

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

2237082593344 is an frugal number, since it uses more digits than its factorization.

2237082593344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 2237082593344 in words is "two trillion, two hundred thirty-seven billion, eighty-two million, five hundred ninety-three thousand, three hundred forty-four".