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422164200 = 233523122697
BaseRepresentation
bin11001001010011…
…011011011101000
31002102101011102010
4121022123123220
51331033223300
6105520235520
713314223263
oct3112333350
91072334363
10422164200
111a7334237
12b946bba0
1369601b03
14400d3cda
15270e0a50
hex1929b6e8

422164200 has 96 divisors (see below), whose sum is σ = 1350984960. Its totient is φ = 108940800.

The previous prime is 422164189. The next prime is 422164217. The reversal of 422164200 is 2461224.

It is a super-2 number, since 2×4221642002 = 356445223523280000, which contains 22 as substring.

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, 7252 + ... + 29948.

It is an arithmetic number, because the mean of its divisors is an integer number (14072760).

Almost surely, 2422164200 is an apocalyptic number.

422164200 is a gapful number since it is divisible by the number (40) 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 422164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675492480).

422164200 is an abundant number, since it is smaller than the sum of its proper divisors (928820760).

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

422164200 is a wasteful number, since it uses less digits than its factorization.

422164200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22747 (or 22738 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 422164200 is about 20546.6347609529. The cubic root of 422164200 is about 750.1713386322.

The spelling of 422164200 in words is "four hundred twenty-two million, one hundred sixty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 22697 45394 68091 90788 113485 136182 181576 226970 272364 340455 453940 544728 567425 680910 703607 907880 1134850 1361820 1407214 1702275 2110821 2269700 2723640 2814428 3404550 3518035 4221642 4539400 5628856 6809100 7036070 8443284 10554105 13618200 14072140 16886568 17590175 21108210 28144280 35180350 42216420 52770525 70360700 84432840 105541050 140721400 211082100 422164200