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217906933122 = 23247223412
BaseRepresentation
bin1100101011110001000…
…0111110110110000010
3202211110022100010202200
43022330100332312002
512032233133324442
6244034405454030
721512636241054
oct3127420766602
9684408303680
10217906933122
118446086808a
1236294711316
13177191958a8
14a7924038d4
155a0559734c
hex32bc43ed82

217906933122 has 54 divisors (see below), whose sum is σ = 482596924329. Its totient is φ = 71059837680.

The previous prime is 217906933103. The next prime is 217906933187. The reversal of 217906933122 is 221339609712.

217906933122 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 2 ways, for example, as 212715586521 + 5191346601 = 461211^2 + 72051^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=330081.

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 26 ways as a sum of consecutive naturals, for example, 93081672 + ... + 93084012.

Almost surely, 2217906933122 is an apocalyptic number.

217906933122 is an abundant number, since it is smaller than the sum of its proper divisors (264689991207).

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

217906933122 is an frugal number, since it uses more digits than its factorization.

217906933122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 217906933122 in words is "two hundred seventeen billion, nine hundred six million, nine hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 2209 2341 4418 4682 6627 7023 13254 14046 19881 21069 39762 42138 110027 220054 330081 660162 990243 1980486 5171269 5480281 10342538 10960562 15513807 16440843 31027614 32881686 46541421 49322529 93082842 98645058 257573207 515146414 772719621 1545439242 2318158863 4636317726 12105940729 24211881458 36317822187 72635644374 108953466561 217906933122