Search a number
-
+
21822976 = 2976089
BaseRepresentation
bin101001100111…
…1111000000000
31112001201111101
41103033320000
521041313401
62055424144
7353330560
oct123177000
945051441
1021822976
1111355a1a
127385054
1346a1106
142c80da0
151db1101
hex14cfe00

21822976 has 40 divisors (see below), whose sum is σ = 49840560. Its totient is φ = 9351168.

The previous prime is 21822967. The next prime is 21822991. The reversal of 21822976 is 67922812.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 540 + ... + 6628.

It is an arithmetic number, because the mean of its divisors is an integer number (1246014).

Almost surely, 221822976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21822976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24920280).

21822976 is an abundant number, since it is smaller than the sum of its proper divisors (28017584).

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

21822976 is an frugal number, since it uses more digits than its factorization.

21822976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6098 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 21822976 is about 4671.5068232852. The cubic root of 21822976 is about 279.4503502960.

The spelling of 21822976 in words is "twenty-one million, eight hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 6089 12178 24356 42623 48712 85246 97424 170492 194848 340984 389696 681968 779392 1363936 1558784 2727872 3117568 5455744 10911488 21822976