Search a number
-
+
22045240 = 2357431831
BaseRepresentation
bin101010000011…
…0001000111000
31112111000101101
41110012020320
521120421430
62104301144
7355244560
oct124061070
945430341
1022045240
1111497a08
1274717b4
13474b329
142cdbda0
151e06dca
hex1506238

22045240 has 64 divisors (see below), whose sum is σ = 58037760. Its totient is φ = 7378560.

The previous prime is 22045237. The next prime is 22045241. The reversal of 22045240 is 4254022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22045241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11125 + ... + 12955.

It is an arithmetic number, because the mean of its divisors is an integer number (906840).

Almost surely, 222045240 is an apocalyptic number.

22045240 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 22045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29018880).

22045240 is an abundant number, since it is smaller than the sum of its proper divisors (35992520).

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

22045240 is a wasteful number, since it uses less digits than its factorization.

22045240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 22045240 is about 4695.2358833183. The cubic root of 22045240 is about 280.3958686221.

Adding to 22045240 its reverse (4254022), we get a palindrome (26299262).

The spelling of 22045240 in words is "twenty-two million, forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 1831 2408 3010 3662 6020 7324 9155 12040 12817 14648 18310 25634 36620 51268 64085 73240 78733 102536 128170 157466 256340 314932 393665 512680 551131 629864 787330 1102262 1574660 2204524 2755655 3149320 4409048 5511310 11022620 22045240