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2281230 = 233571771
BaseRepresentation
bin1000101100111100001110
311021220021000
420230330032
51040444410
6120521130
725250550
oct10547416
94256230
102281230
111318a16
129201a6
1361b453
144354d0
15300dc0
hex22cf0e

2281230 has 128 divisors (see below), whose sum is σ = 7464960. Its totient is φ = 483840.

The previous prime is 2281229. The next prime is 2281231. The reversal of 2281230 is 321822.

It is a happy number.

2281230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2281229) and next prime (2281231).

It is a super-3 number, since 3×22812303 = 35614633338290601000, which contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281231) 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 63 ways as a sum of consecutive naturals, for example, 32095 + ... + 32165.

It is an arithmetic number, because the mean of its divisors is an integer number (58320).

22281230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732480).

2281230 is an abundant number, since it is smaller than the sum of its proper divisors (5183730).

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

2281230 is a wasteful number, since it uses less digits than its factorization.

2281230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

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

The square root of 2281230 is about 1510.3741258377. The cubic root of 2281230 is about 131.6405509991.

The spelling of 2281230 in words is "two million, two hundred eighty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 71 85 90 102 105 119 126 135 142 153 170 189 210 213 238 255 270 306 315 355 357 378 426 459 497 510 595 630 639 710 714 765 918 945 994 1065 1071 1190 1207 1278 1491 1530 1785 1890 1917 2130 2142 2295 2414 2485 2982 3195 3213 3570 3621 3834 4473 4590 4970 5355 6035 6390 6426 7242 7455 8449 8946 9585 10710 10863 12070 13419 14910 16065 16898 18105 19170 21726 22365 25347 26838 32130 32589 36210 42245 44730 50694 54315 65178 67095 76041 84490 108630 126735 134190 152082 162945 228123 253470 325890 380205 456246 760410 1140615 2281230