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219375090 = 232511713121
BaseRepresentation
bin11010001001101…
…10010111110010
3120021210102001100
431010312113302
5422130000330
633433545230
75302441344
oct1504662762
9507712040
10219375090
11102916830
1261575216
13365ac15c
14211c7294
15143d5060
hexd1365f2

219375090 has 96 divisors (see below), whose sum is σ = 631193472. Its totient is φ = 52416000.

The previous prime is 219375071. The next prime is 219375097. The reversal of 219375090 is 90573912.

It is a super-2 number, since 2×2193750902 = 96250860225016200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (219375097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68730 + ... + 71850.

It is an arithmetic number, because the mean of its divisors is an integer number (6574932).

Almost surely, 2219375090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219375090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315596736).

219375090 is an abundant number, since it is smaller than the sum of its proper divisors (411818382).

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

219375090 is a wasteful number, since it uses less digits than its factorization.

219375090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 219375090 is about 14811.3162818164. The cubic root of 219375090 is about 603.1089462648.

The spelling of 219375090 in words is "two hundred nineteen million, three hundred seventy-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 198 213 330 355 426 495 639 710 781 990 1065 1278 1562 2130 2343 3121 3195 3905 4686 6242 6390 7029 7810 9363 11715 14058 15605 18726 23430 28089 31210 34331 35145 46815 56178 68662 70290 93630 102993 140445 171655 205986 221591 280890 308979 343310 443182 514965 617958 664773 1029930 1107955 1329546 1544895 1994319 2215910 2437501 3089790 3323865 3988638 4875002 6647730 7312503 9971595 12187505 14625006 19943190 21937509 24375010 36562515 43875018 73125030 109687545 219375090