Search a number
-
+
22095744 = 273115231
BaseRepresentation
bin101010001001…
…0011110000000
31112120120122220
41110102132000
521124030434
62105331040
7355545036
oct124223600
945516586
1022095744
1111521950
127496a80
134768308
142d12556
151e16d49
hex1512780

22095744 has 64 divisors (see below), whose sum is σ = 64039680. Its totient is φ = 6694400.

The previous prime is 22095743. The next prime is 22095751. The reversal of 22095744 is 44759022.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22095743) 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, 1609 + ... + 6839.

It is an arithmetic number, because the mean of its divisors is an integer number (1000620).

Almost surely, 222095744 is an apocalyptic number.

22095744 is a gapful number since it is divisible by the number (24) 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 22095744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32019840).

22095744 is an abundant number, since it is smaller than the sum of its proper divisors (41943936).

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

22095744 is a wasteful number, since it uses less digits than its factorization.

22095744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 22095744 is about 4700.6110241117. The cubic root of 22095744 is about 280.6098273221.

Subtracting 22095744 from its reverse (44759022), we obtain a triangular number (22663278 = T6732).

The spelling of 22095744 in words is "twenty-two million, ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 5231 10462 15693 20924 31386 41848 57541 62772 83696 115082 125544 167392 172623 230164 251088 334784 345246 460328 502176 669568 690492 920656 1004352 1380984 1841312 2008704 2761968 3682624 5523936 7365248 11047872 22095744