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216232032200 = 235213122512
BaseRepresentation
bin1100100101100001101…
…1101111011111001000
3202200010120201100122012
43021120123233133020
512020320400012300
6243200254515052
721423300643022
oct3113033573710
9680116640565
10216232032200
1183781388248
1235aa7805a88
1317510196662
14a673bb3012
155958500435
hex32586ef7c8

216232032200 has 108 divisors (see below), whose sum is σ = 508632869985. Its totient is φ = 85490600000.

The previous prime is 216232032157. The next prime is 216232032227. The reversal of 216232032200 is 2230232612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 211907391556 + 4324640644 = 460334^2 + 65762^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=328810.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 861482075 + ... + 861482325.

Almost surely, 2216232032200 is an apocalyptic number.

216232032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216232032200

216232032200 is an abundant number, since it is smaller than the sum of its proper divisors (292400837785).

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

216232032200 is an equidigital number, since it uses as much as digits as its factorization.

216232032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 216232032200 its reverse (2230232612), we get a palindrome (218462264812).

The spelling of 216232032200 in words is "two hundred sixteen billion, two hundred thirty-two million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 251 262 502 524 655 1004 1048 1255 1310 2008 2510 2620 3275 5020 5240 6275 6550 10040 12550 13100 17161 25100 26200 32881 34322 50200 63001 65762 68644 85805 126002 131524 137288 164405 171610 252004 263048 315005 328810 343220 429025 504008 630010 657620 686440 822025 858050 1260020 1315240 1575025 1644050 1716100 2520040 3150050 3288100 3432200 4307411 6300100 6576200 8253131 8614822 12600200 16506262 17229644 21537055 33012524 34459288 41265655 43074110 66025048 82531310 86148220 107685275 165062620 172296440 206328275 215370550 330125240 412656550 430741100 825313100 861482200 1081160161 1650626200 2162320322 4324640644 5405800805 8649281288 10811601610 21623203220 27029004025 43246406440 54058008050 108116016100 216232032200