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22830210 = 23251321979
BaseRepresentation
bin101011100010…
…1110010000010
31120221220011100
41113011302002
521321031320
62133155230
7365024244
oct127056202
946856140
1022830210
1111983747
12778bb16
134964700
143064094
15200e790
hex15c5c82

22830210 has 144 divisors (see below), whose sum is σ = 68515200. Its totient is φ = 5256576.

The previous prime is 22830209. The next prime is 22830217. The reversal of 22830210 is 1203822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22830217) 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 71 ways as a sum of consecutive naturals, for example, 288951 + ... + 289029.

It is an arithmetic number, because the mean of its divisors is an integer number (475800).

Almost surely, 222830210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22830210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34257600).

22830210 is an abundant number, since it is smaller than the sum of its proper divisors (45684990).

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

22830210 is a wasteful number, since it uses less digits than its factorization.

22830210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22830210 is about 4778.0969014870. The cubic root of 22830210 is about 283.6851715249.

The spelling of 22830210 in words is "twenty-two million, eight hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 79 90 95 114 117 130 158 169 171 190 195 234 237 247 285 338 342 390 395 474 494 507 570 585 711 741 790 845 855 1014 1027 1170 1185 1235 1422 1482 1501 1521 1690 1710 2054 2223 2370 2470 2535 3002 3042 3081 3211 3555 3705 4446 4503 5070 5135 6162 6422 7110 7410 7505 7605 9006 9243 9633 10270 11115 13351 13509 15010 15210 15405 16055 18486 19266 19513 22230 22515 26702 27018 28899 30810 32110 39026 40053 45030 46215 48165 57798 58539 66755 67545 80106 92430 96330 97565 117078 120159 133510 135090 144495 175617 195130 200265 240318 253669 288990 292695 351234 400530 507338 585390 600795 761007 878085 1201590 1268345 1522014 1756170 2283021 2536690 3805035 4566042 7610070 11415105 22830210