Search a number
-
+
22392540 = 22325314013
BaseRepresentation
bin101010101101…
…0111011011100
31120010122210100
41111122323130
521213030130
62115541100
7361222242
oct125327334
946118710
1022392540
1111704935
1275ba790
134840431
142d8c792
151e74c60
hex155aedc

22392540 has 72 divisors (see below), whose sum is σ = 70132608. Its totient is φ = 5777280.

The previous prime is 22392527. The next prime is 22392541. The reversal of 22392540 is 4529322.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22392541) 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, 3574 + ... + 7586.

It is an arithmetic number, because the mean of its divisors is an integer number (974064).

Almost surely, 222392540 is an apocalyptic number.

22392540 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 22392540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35066304).

22392540 is an abundant number, since it is smaller than the sum of its proper divisors (47740068).

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

22392540 is a wasteful number, since it uses less digits than its factorization.

22392540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4054 counting only the distinct ones).

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

The square root of 22392540 is about 4732.0756545093. The cubic root of 22392540 is about 281.8606524458.

The spelling of 22392540 in words is "twenty-two million, three hundred ninety-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 4013 5580 8026 12039 16052 20065 24078 36117 40130 48156 60195 72234 80260 120390 124403 144468 180585 240780 248806 361170 373209 497612 622015 722340 746418 1119627 1244030 1492836 1866045 2239254 2488060 3732090 4478508 5598135 7464180 11196270 22392540