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10066222200 = 2335254730671
BaseRepresentation
bin10010101111111111…
…00101110001111000
3221222112101001220110
421113333211301320
5131103423102300
64342510024320
7504310322406
oct112777456170
927875331813
1010066222200
1142a6135801
121b4b1a80a0
13c456355c8
146b6c80476
153ddade550
hex257fe5c78

10066222200 has 96 divisors (see below), whose sum is σ = 31263356160. Its totient is φ = 2679331200.

The previous prime is 10066222181. The next prime is 10066222247. The reversal of 10066222200 is 222266001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312865 + ... + 343535.

It is an arithmetic number, because the mean of its divisors is an integer number (325659960).

Almost surely, 210066222200 is an apocalyptic number.

10066222200 is a gapful number since it is divisible by the number (10) 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 10066222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15631678080).

10066222200 is an abundant number, since it is smaller than the sum of its proper divisors (21197133960).

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

10066222200 is a wasteful number, since it uses less digits than its factorization.

10066222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31237 (or 31228 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10066222200 its reverse (222266001), we get a palindrome (10288488201).

The spelling of 10066222200 in words is "ten billion, sixty-six million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 547 600 1094 1641 2188 2735 3282 4376 5470 6564 8205 10940 13128 13675 16410 21880 27350 30671 32820 41025 54700 61342 65640 82050 92013 109400 122684 153355 164100 184026 245368 306710 328200 368052 460065 613420 736104 766775 920130 1226840 1533550 1840260 2300325 3067100 3680520 4600650 6134200 9201300 16777037 18402600 33554074 50331111 67108148 83885185 100662222 134216296 167770370 201324444 251655555 335540740 402648888 419425925 503311110 671081480 838851850 1006622220 1258277775 1677703700 2013244440 2516555550 3355407400 5033111100 10066222200