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422189712 = 24337149937
BaseRepresentation
bin11001001010100…
…001101010010000
31002102102110102000
4121022201222100
51331040032322
6105520554000
713314360540
oct3112415220
91072373360
10422189712
111a735141a
12b9482900
13696105c9
14400dd320
15270e83ac
hex192a1a90

422189712 has 160 divisors (see below), whose sum is σ = 1395744000. Its totient is φ = 119688192.

The previous prime is 422189711. The next prime is 422189731. The reversal of 422189712 is 217981224.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (422189711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450108 + ... + 451044.

It is an arithmetic number, because the mean of its divisors is an integer number (8723400).

Almost surely, 2422189712 is an apocalyptic number.

422189712 is a gapful number since it is divisible by the number (42) 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 422189712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697872000).

422189712 is an abundant number, since it is smaller than the sum of its proper divisors (973554288).

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

422189712 is a wasteful number, since it uses less digits than its factorization.

422189712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1098 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 422189712 is about 20547.2555831673. The cubic root of 422189712 is about 750.1864496449.

The spelling of 422189712 in words is "four hundred twenty-two million, one hundred eighty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 149 168 189 216 252 298 336 378 432 447 504 596 756 894 937 1008 1043 1192 1341 1512 1788 1874 2086 2384 2682 2811 3024 3129 3576 3748 4023 4172 5364 5622 6258 6559 7152 7496 8046 8344 8433 9387 10728 11244 12516 13118 14992 16092 16688 16866 18774 19677 21456 22488 25032 25299 26236 28161 32184 33732 37548 39354 44976 50064 50598 52472 56322 59031 64368 67464 75096 78708 101196 104944 112644 118062 134928 139613 150192 157416 177093 202392 225288 236124 279226 314832 354186 404784 418839 450576 472248 558452 708372 837678 944496 977291 1116904 1256517 1416744 1675356 1954582 2233808 2513034 2833488 2931873 3350712 3769551 3909164 5026068 5863746 6701424 7539102 7818328 8795619 10052136 11727492 15078204 15636656 17591238 20104272 23454984 26386857 30156408 35182476 46909968 52773714 60312816 70364952 105547428 140729904 211094856 422189712