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216251423460 = 22345133488533
BaseRepresentation
bin1100100101100110010…
…1101101101011100100
3202200011221012112110000
43021121211231223210
512020340331022320
6243202230301300
721423624525222
oct3113145555344
9680157175400
10216251423460
1183791322186
1235ab21b7830
13175141c5987
14a6765bdb12
15595a080c90
hex325996dae4

216251423460 has 60 divisors (see below), whose sum is σ = 678388729788. Its totient is φ = 57667045824.

The previous prime is 216251423447. The next prime is 216251423477. The reversal of 216251423460 is 64324152612.

216251423460 is a `hidden beast` number, since 2 + 1 + 62 + 514 + 23 + 4 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121200067044 + 95051356416 = 348138^2 + 308304^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×2162514234603 (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66742647 + ... + 66745886.

Almost surely, 2216251423460 is an apocalyptic number.

216251423460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216251423460 is an abundant number, since it is smaller than the sum of its proper divisors (462137306328).

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

216251423460 is a wasteful number, since it uses less digits than its factorization.

216251423460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133488554 (or 133488543 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 216251423460 in words is "two hundred sixteen billion, two hundred fifty-one million, four hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 133488533 266977066 400465599 533954132 667442665 800931198 1201396797 1334885330 1601862396 2002327995 2402793594 2669770660 3604190391 4004655990 4805587188 6006983985 7208380782 8009311980 10812571173 12013967970 14416761564 18020951955 21625142346 24027935940 36041903910 43250284692 54062855865 72083807820 108125711730 216251423460