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227202132564 = 2232116120994481
BaseRepresentation
bin1101001110011001001…
…1010110101001010100
3210201110002220012021200
43103212103112221110
512210302221220224
6252213014112500
722262165155641
oct3234623265124
9721402805250
10227202132564
11883a0753aa0
123804964b730
131856ab528c4
14add4adcdc8
155d9b6355c9
hex34e64d6a54

227202132564 has 144 divisors (see below), whose sum is σ = 637243588800. Its totient is φ = 67673088000.

The previous prime is 227202132557. The next prime is 227202132571. The reversal of 227202132564 is 465231202722.

227202132564 is a `hidden beast` number, since 2 + 2 + 72 + 0 + 21 + 3 + 2 + 564 = 666.

227202132564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (227202132557) and next prime (227202132571).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50701204 + ... + 50705684.

It is an arithmetic number, because the mean of its divisors is an integer number (4425302700).

Almost surely, 2227202132564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227202132564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318621794400).

227202132564 is an abundant number, since it is smaller than the sum of its proper divisors (410041456236).

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

227202132564 is a wasteful number, since it uses less digits than its factorization.

227202132564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6662 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 227202132564 in words is "two hundred twenty-seven billion, two hundred two million, one hundred thirty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 1098 1342 2013 2099 2196 2684 4026 4198 4481 6039 6297 8052 8396 8962 12078 12594 13443 17924 18891 23089 24156 25188 26886 37782 40329 46178 49291 53772 69267 75564 80658 92356 98582 128039 138534 147873 161316 197164 207801 256078 273341 277068 295746 384117 415602 443619 512156 546682 591492 768234 820023 831204 887238 1093364 1152351 1408429 1536468 1640046 1774476 2304702 2460069 2816858 3006751 3280092 4225287 4609404 4920138 5633716 6013502 8450574 9020253 9405619 9840276 12027004 12675861 16901148 18040506 18811238 25351722 27060759 28216857 36081012 37622476 50703444 54121518 56433714 84650571 103461809 108243036 112867428 169301142 206923618 310385427 338602284 413847236 573742759 620770854 931156281 1147485518 1241541708 1721228277 1862312562 2294971036 3442456554 3724625124 5163684831 6311170349 6884913108 10327369662 12622340698 18933511047 20654739324 25244681396 37867022094 56800533141 75734044188 113601066282 227202132564