Search a number
-
+
22743168 = 27378461
BaseRepresentation
bin101011011000…
…0100010000000
31120210110202120
41112300202000
521310240133
62131244240
7364212420
oct126604200
946713676
1022743168
1111924308
127749680
134933bc6
143040480
151ee3ab3
hex15b0880

22743168 has 64 divisors (see below), whose sum is σ = 69049920. Its totient is φ = 6497280.

The previous prime is 22743157. The next prime is 22743169. The reversal of 22743168 is 86134722.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22743169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1543 + ... + 6918.

It is an arithmetic number, because the mean of its divisors is an integer number (1078905).

Almost surely, 222743168 is an apocalyptic number.

22743168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22743168 is an abundant number, since it is smaller than the sum of its proper divisors (46306752).

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

22743168 is an equidigital number, since it uses as much as digits as its factorization.

22743168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8485 (or 8473 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 22743168 is about 4768.9797651070. The cubic root of 22743168 is about 283.3241882477.

The spelling of 22743168 in words is "twenty-two million, seven hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 8461 16922 25383 33844 50766 59227 67688 101532 118454 135376 177681 203064 236908 270752 355362 406128 473816 541504 710724 812256 947632 1083008 1421448 1624512 1895264 2842896 3249024 3790528 5685792 7581056 11371584 22743168