Search a number
-
+
22485150 = 23252291723
BaseRepresentation
bin101010111000…
…1100010011110
31120022100211100
41111301202132
521224011100
62121533530
7362056242
oct125614236
946270740
1022485150
1111768476
1276442a6
13487362c
142db4422
151e92400
hex157189e

22485150 has 72 divisors (see below), whose sum is σ = 62529480. Its totient is φ = 5785920.

The previous prime is 22485139. The next prime is 22485157. The reversal of 22485150 is 5158422.

It is a happy number.

It is a super-3 number, since 3×224851503 (a number of 23 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22485157) 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 35 ways as a sum of consecutive naturals, for example, 12189 + ... + 13911.

It is an arithmetic number, because the mean of its divisors is an integer number (868465).

Almost surely, 222485150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22485150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31264740).

22485150 is an abundant number, since it is smaller than the sum of its proper divisors (40044330).

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

22485150 is a wasteful number, since it uses less digits than its factorization.

22485150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 22485150 is about 4741.8509044465. The cubic root of 22485150 is about 282.2486866175.

The spelling of 22485150 in words is "twenty-two million, four hundred eighty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 1723 2175 2610 3446 4350 5169 6525 8615 10338 13050 15507 17230 25845 31014 43075 49967 51690 77535 86150 99934 129225 149901 155070 249835 258450 299802 387675 449703 499670 749505 775350 899406 1249175 1499010 2248515 2498350 3747525 4497030 7495050 11242575 22485150