Search a number
-
+
21921792 = 2153223
BaseRepresentation
bin101001110100…
…0000000000000
31112020202001020
41103220000000
521102444132
62101505440
7354221634
oct123500000
945222036
1021921792
1111413192
127412280
134707099
142ca8dc4
151dd052c
hex14e8000

21921792 has 64 divisors (see below), whose sum is σ = 58719360. Its totient is φ = 7274496.

The previous prime is 21921773. The next prime is 21921803. The reversal of 21921792 is 29712912.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98193 + ... + 98415.

It is an arithmetic number, because the mean of its divisors is an integer number (917490).

Almost surely, 221921792 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 21921792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29359680).

21921792 is an abundant number, since it is smaller than the sum of its proper divisors (36797568).

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

21921792 is an frugal number, since it uses more digits than its factorization.

21921792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 228 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 21921792 is about 4682.0713364920. The cubic root of 21921792 is about 279.8715056678.

The spelling of 21921792 in words is "twenty-one million, nine hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 512 669 768 892 1024 1338 1536 1784 2048 2676 3072 3568 4096 5352 6144 7136 8192 10704 12288 14272 16384 21408 24576 28544 32768 42816 49152 57088 85632 98304 114176 171264 228352 342528 456704 685056 913408 1370112 1826816 2740224 3653632 5480448 7307264 10960896 21921792