Search a number
-
+
22585140 = 22325271463
BaseRepresentation
bin101011000100…
…1111100110100
31120111102222200
41112021330310
521240211030
62124024500
7362653614
oct126117464
946442880
1022585140
1111826606
127692130
1348a9cb6
142ddca44
151eb1d60
hex1589f34

22585140 has 72 divisors (see below), whose sum is σ = 68909568. Its totient is φ = 5987520.

The previous prime is 22585111. The next prime is 22585151. The reversal of 22585140 is 4158522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48549 + ... + 49011.

Almost surely, 222585140 is an apocalyptic number.

22585140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22585140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34454784).

22585140 is an abundant number, since it is smaller than the sum of its proper divisors (46324428).

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

22585140 is a wasteful number, since it uses less digits than its factorization.

22585140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 744 counting only the distinct ones).

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

The square root of 22585140 is about 4752.3825603585. The cubic root of 22585140 is about 282.6664484938. Note that the first 3 decimals are identical.

The spelling of 22585140 in words is "twenty-two million, five hundred eighty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 463 542 813 926 1084 1355 1389 1626 1852 2315 2439 2710 2778 3252 4065 4167 4630 4878 5420 5556 6945 8130 8334 9260 9756 12195 13890 16260 16668 20835 24390 27780 41670 48780 83340 125473 250946 376419 501892 627365 752838 1129257 1254730 1505676 1882095 2258514 2509460 3764190 4517028 5646285 7528380 11292570 22585140