Search a number
-
+
22243140 = 22335172423
BaseRepresentation
bin101010011011…
…0011101000100
31112212001212000
41110312131010
521143240030
62112425300
7360030543
oct124663504
945761760
1022243140
1111612667
127548230
1347ba42a
142d5015a
151e45860
hex1536744

22243140 has 96 divisors (see below), whose sum is σ = 73301760. Its totient is φ = 5580288.

The previous prime is 22243127. The next prime is 22243141. The reversal of 22243140 is 4134222.

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

It is not an unprimeable number, because it can be changed into a prime (22243141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7969 + ... + 10391.

It is an arithmetic number, because the mean of its divisors is an integer number (763560).

Almost surely, 222243140 is an apocalyptic number.

22243140 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 22243140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36650880).

22243140 is an abundant number, since it is smaller than the sum of its proper divisors (51058620).

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

22243140 is a wasteful number, since it uses less digits than its factorization.

22243140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22243140 is about 4716.2633514256. The cubic root of 22243140 is about 281.2324077885.

Adding to 22243140 its reverse (4134222), we get a palindrome (26377362).

The spelling of 22243140 in words is "twenty-two million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 2423 3060 4590 4846 7269 9180 9692 12115 14538 21807 24230 29076 36345 41191 43614 48460 65421 72690 82382 87228 109035 123573 130842 145380 164764 205955 218070 247146 261684 327105 370719 411910 436140 494292 617865 654210 741438 823820 1112157 1235730 1308420 1482876 1853595 2224314 2471460 3707190 4448628 5560785 7414380 11121570 22243140