Search a number
-
+
22954230 = 23251323853
BaseRepresentation
bin101011110010…
…0000011110110
31121012012021200
41113210003312
521334013410
62135553330
7366051645
oct127440366
947165250
1022954230
1111a58942
12782b846
1349a8cb0
14309735c
1520363c0
hex15e40f6

22954230 has 96 divisors (see below), whose sum is σ = 67144896. Its totient is φ = 5398272.

The previous prime is 22954163. The next prime is 22954237. The reversal of 22954230 is 3245922.

It is a junction number, because it is equal to n+sod(n) for n = 22954194 and 22954203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22954237) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26484 + ... + 27336.

It is an arithmetic number, because the mean of its divisors is an integer number (699426).

Almost surely, 222954230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22954230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33572448).

22954230 is an abundant number, since it is smaller than the sum of its proper divisors (44190666).

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

22954230 is a wasteful number, since it uses less digits than its factorization.

22954230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 22954230 is about 4791.0572945854. The cubic root of 22954230 is about 284.1979295370.

The spelling of 22954230 in words is "twenty-two million, nine hundred fifty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 853 897 1035 1170 1495 1706 1794 2070 2559 2691 2990 4265 4485 5118 5382 7677 8530 8970 11089 12795 13455 15354 19619 22178 25590 26910 33267 38385 39238 55445 58857 66534 76770 98095 99801 110890 117714 166335 176571 196190 199602 255047 294285 332670 353142 499005 510094 588570 765141 882855 998010 1275235 1530282 1765710 2295423 2550470 3825705 4590846 7651410 11477115 22954230