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21922944 = 273371543
BaseRepresentation
bin101001110100…
…0010010000000
31112020210121220
41103220102000
521103013234
62101515040
7354225201
oct123502200
945223556
1021922944
111141403a
127412a80
134707774
142ca95a8
151dd0a49
hex14e8480

21922944 has 64 divisors (see below), whose sum is σ = 59845440. Its totient is φ = 7105536.

The previous prime is 21922939. The next prime is 21922949. The reversal of 21922944 is 44922912.

It is an interprime number because it is at equal distance from previous prime (21922939) and next prime (21922949).

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

It is not an unprimeable number, because it can be changed into a prime (21922949) 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, 13437 + ... + 14979.

It is an arithmetic number, because the mean of its divisors is an integer number (935085).

Almost surely, 221922944 is an apocalyptic number.

21922944 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 21922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29922720).

21922944 is an abundant number, since it is smaller than the sum of its proper divisors (37922496).

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

21922944 is a wasteful number, since it uses less digits than its factorization.

21922944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1585 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 21922944 is about 4682.1943573500. The cubic root of 21922944 is about 279.8764080396.

The spelling of 21922944 in words is "twenty-one million, nine hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1543 1776 2368 3086 3552 4629 4736 6172 7104 9258 12344 14208 18516 24688 37032 49376 57091 74064 98752 114182 148128 171273 197504 228364 296256 342546 456728 592512 685092 913456 1370184 1826912 2740368 3653824 5480736 7307648 10961472 21922944