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422210768 = 24729612131
BaseRepresentation
bin11001001010100…
…110110011010000
31002102110112021212
4121022212303100
51331041221033
6105521235252
713314506120
oct3112466320
91072415255
10422210768
111a7366221
12b9492b28
136961a075
1440106c80
15270ee748
hex192a6cd0

422210768 has 80 divisors (see below), whose sum is σ = 983448960. Its totient is φ = 171763200.

The previous prime is 422210753. The next prime is 422210779. The reversal of 422210768 is 867012224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197063 + ... + 199193.

It is an arithmetic number, because the mean of its divisors is an integer number (12293112).

Almost surely, 2422210768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422210768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491724480).

422210768 is an abundant number, since it is smaller than the sum of its proper divisors (561238192).

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

422210768 is a wasteful number, since it uses less digits than its factorization.

422210768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 422210768 is about 20547.7679566419. The cubic root of 422210768 is about 750.1989208656.

The spelling of 422210768 in words is "four hundred twenty-two million, two hundred ten thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 61 112 116 122 203 232 244 406 427 464 488 812 854 976 1624 1708 1769 2131 3248 3416 3538 4262 6832 7076 8524 12383 14152 14917 17048 24766 28304 29834 34096 49532 59668 61799 99064 119336 123598 129991 198128 238672 247196 259982 432593 494392 519964 865186 909937 988784 1039928 1730372 1819874 2079856 3460744 3639748 3769739 6921488 7279496 7539478 14558992 15078956 26388173 30157912 52776346 60315824 105552692 211105384 422210768