Search a number
-
+
22389930 = 23251931289
BaseRepresentation
bin101010101101…
…0010010101010
31120010112012200
41111122102222
521212434210
62115521030
7361211523
oct125322252
946115180
1022389930
1111702982
1275b9176
13483c1a4
142d8b84a
151e740c0
hex155a4aa

22389930 has 48 divisors (see below), whose sum is σ = 58560840. Its totient is φ = 5935104.

The previous prime is 22389929. The next prime is 22389931. The reversal of 22389930 is 3998322.

It is an interprime number because it is at equal distance from previous prime (22389929) and next prime (22389931).

It can be written as a sum of positive squares in 4 ways, for example, as 18481401 + 3908529 = 4299^2 + 1977^2 .

It is not an unprimeable number, because it can be changed into a prime (22389931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16726 + ... + 18014.

Almost surely, 222389930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22389930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29280420).

22389930 is an abundant number, since it is smaller than the sum of its proper divisors (36170910).

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

22389930 is a wasteful number, since it uses less digits than its factorization.

22389930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 22389930 is about 4731.7998689716. The cubic root of 22389930 is about 281.8497011068.

The spelling of 22389930 in words is "twenty-two million, three hundred eighty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 965 1158 1289 1737 1930 2578 2895 3474 3867 5790 6445 7734 8685 11601 12890 17370 19335 23202 38670 58005 116010 248777 497554 746331 1243885 1492662 2238993 2487770 3731655 4477986 7463310 11194965 22389930