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226868358249 = 36132232592
BaseRepresentation
bin1101001101001001101…
…0000110110001101001
3210200120211211201000000
43103102122012301221
512204111244430444
6252115532133213
722251003140661
oct3232232066151
9720524751000
10226868358249
118823a301455
1237b75907209
131851695ac00
14ada26571a1
155d7c1a4469
hex34d2686c69

226868358249 has 189 divisors, whose sum is σ = 391671805287. Its totient is φ = 131277830112.

The previous prime is 226868358239. The next prime is 226868358293. The reversal of 226868358249 is 942853868622.

The square root of 226868358249 is 476307.

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

226868358249 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 6 + 8 + 3 + 582 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33560408025 + 193307950224 = 183195^2 + 439668^2 .

It is not a de Polignac number, because 226868358249 - 229 = 226331487337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226868358239) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3845226382 + ... + 3845226440.

Almost surely, 2226868358249 is an apocalyptic number.

226868358249 is the 476307-th square number.

226868358249 is the 238154-th centered octagonal number.

It is an amenable number.

226868358249 is a deficient number, since it is larger than the sum of its proper divisors (164803447038).

226868358249 is an frugal number, since it uses more digits than its factorization.

226868358249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 98 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 226868358249 in words is "two hundred twenty-six billion, eight hundred sixty-eight million, three hundred fifty-eight thousand, two hundred forty-nine".