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86222184340 = 22511382946021
BaseRepresentation
bin101000001001100111…
…1100001111110010100
322020112222020210021211
41100103033201332110
52403040334344330
6103335424351204
76141444321505
oct1202317417624
9266488223254
1086222184340
11336261a2296
1214863775504
1381912545b6
14425d2a2bac
152399893d2a
hex14133e1f94

86222184340 has 48 divisors (see below), whose sum is σ = 182893268880. Its totient is φ = 34141685760.

The previous prime is 86222184337. The next prime is 86222184353. The reversal of 86222184340 is 4348122268.

It can be written as a sum of positive squares in 8 ways, for example, as 113976976 + 86108207364 = 10676^2 + 293442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 86222184293 and 86222184302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1850530 + ... + 1896550.

It is an arithmetic number, because the mean of its divisors is an integer number (3810276435).

Almost surely, 286222184340 is an apocalyptic number.

It is an amenable number.

86222184340 is an abundant number, since it is smaller than the sum of its proper divisors (96671084540).

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

86222184340 is a wasteful number, since it uses less digits than its factorization.

86222184340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46972 (or 46970 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 86222184340 in words is "eighty-six billion, two hundred twenty-two million, one hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 829 1130 1658 2260 3316 4145 8290 16580 46021 92042 93677 184084 187354 230105 374708 460210 468385 920420 936770 1873540 5200373 10400746 20801492 26001865 38151409 52003730 76302818 104007460 152605636 190757045 381514090 763028180 4311109217 8622218434 17244436868 21555546085 43111092170 86222184340