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21220320 = 2535114019
BaseRepresentation
bin101000011110…
…0101111100000
31110221002210210
41100330233200
520413022240
62034454120
7345240552
oct120745740
943832723
1021220320
1110a84160
127134340
13451ca04
142b654d2
151ce2780
hex143cbe0

21220320 has 96 divisors (see below), whose sum is σ = 72938880. Its totient is φ = 5143040.

The previous prime is 21220319. The next prime is 21220327. The reversal of 21220320 is 2302212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21220296 and 21220305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3271 + ... + 7289.

It is an arithmetic number, because the mean of its divisors is an integer number (759780).

Almost surely, 221220320 is an apocalyptic number.

21220320 is a gapful number since it is divisible by the number (20) 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 21220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36469440).

21220320 is an abundant number, since it is smaller than the sum of its proper divisors (51718560).

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

21220320 is a wasteful number, since it uses less digits than its factorization.

21220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 21220320 is about 4606.5518557811. The cubic root of 21220320 is about 276.8538981993.

Adding to 21220320 its reverse (2302212), we get a palindrome (23522532).

The spelling of 21220320 in words is "twenty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 4019 5280 8038 12057 16076 20095 24114 32152 40190 44209 48228 60285 64304 80380 88418 96456 120570 128608 132627 160760 176836 192912 221045 241140 265254 321520 353672 385824 442090 482280 530508 643040 663135 707344 884180 964560 1061016 1326270 1414688 1768360 1929120 2122032 2652540 3536720 4244064 5305080 7073440 10610160 21220320