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228626466201 = 3272227692
BaseRepresentation
bin1101010011101100110…
…0110000010110011001
3210212010101000211201100
43110323030300112121
512221211333404301
6253010214342013
722342401620100
oct3247314602631
9725111024640
10228626466201
1188a61752a31
123838665a909
1318736c71183
14b0cbd47037
155e316d5286
hex353b330599

228626466201 has 27 divisors (see below), whose sum is σ = 384171547071. Its totient is φ = 130637957184.

The previous prime is 228626466149. The next prime is 228626466223. The reversal of 228626466201 is 102664626822.

The square root of 228626466201 is 478149.

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

228626466201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3381306201 + 225245160000 = 58149^2 + 474600^2 .

It is not a de Polignac number, because 228626466201 - 211 = 228626464153 is a prime.

It is a super-2 number, since 2×2286264662012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228626464201) 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 26 ways as a sum of consecutive naturals, for example, 10029745 + ... + 10052513.

Almost surely, 2228626466201 is an apocalyptic number.

228626466201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

228626466201 is the 478149-th square number.

228626466201 is the 239075-th centered octagonal number.

It is an amenable number.

228626466201 is a deficient number, since it is larger than the sum of its proper divisors (155545080870).

228626466201 is an frugal number, since it uses more digits than its factorization.

228626466201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45558 (or 22779 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 228626466201 in words is "two hundred twenty-eight billion, six hundred twenty-six million, four hundred sixty-six thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 22769 68307 159383 204921 478149 1115681 1434447 3347043 10041129 518427361 1555282083 3628991527 4665846249 10886974581 25402940689 32660923743 76208822067 228626466201