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228954696300001 = 743088012
BaseRepresentation
bin110100000011101110101011…
…010101111011010111100001
31010000122212002102222222102201
4310003232223111323113201
5220002143204223100001
62130540200242413201
766140300545120000
oct6403565325732741
91100585072888381
10228954696300001
1166a52161252131
1221818b54661201
139a9a448629509
144077675c40c37
151b709851c3501
hexd03bab57b5e1

228954696300001 has 15 divisors (see below), whose sum is σ = 267098784294803. Its totient is φ = 196246247030400.

The previous prime is 228954696299951. The next prime is 228954696300019. The reversal of 228954696300001 is 100003696459822.

The square root of 228954696300001 is 15131249.

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., 138702416285601 + 90252280014400 = 11777199^2 + 9500120^2 .

It is not a de Polignac number, because 228954696300001 - 211 = 228954696297953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228954696303001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 741276801 + ... + 741585601.

Almost surely, 2228954696300001 is an apocalyptic number.

228954696300001 is the 15131249-th square number.

228954696300001 is the 7565625-th centered octagonal number.

It is an amenable number.

228954696300001 is a deficient number, since it is larger than the sum of its proper divisors (38144087994802).

228954696300001 is an frugal number, since it uses more digits than its factorization.

228954696300001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617630 (or 308808 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 228954696300001 in words is "two hundred twenty-eight trillion, nine hundred fifty-four billion, six hundred ninety-six million, three hundred thousand, one".

Divisors: 1 7 49 343 2401 308801 2161607 15131249 105918743 741431201 95358057601 667506403207 4672544822449 32707813757143 228954696300001