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22320 = 2432531
BaseRepresentation
bin101011100110000
31010121200
411130300
51203240
6251200
7122034
oct53460
933550
1022320
1115851
1210b00
13a20c
1481c4
156930
hex5730

22320 has 60 divisors (see below), whose sum is σ = 77376. Its totient is φ = 5760.

The previous prime is 22307. The next prime is 22343. The reversal of 22320 is 2322.

Adding to 22320 its reverse (2322), we get a palindrome (24642).

It can be divided in two parts, 223 and 20, that added together give a 5-th power (243 = 35).

22320 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×223203 = 33358293504000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705 + ... + 735.

222320 is an apocalyptic number.

22320 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 22320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38688).

22320 is an abundant number, since it is smaller than the sum of its proper divisors (55056).

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

22320 is a wasteful number, since it uses less digits than its factorization.

22320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 22320 is about 149.3987951759. The cubic root of 22320 is about 28.1555963327.

The spelling of 22320 in words is "twenty-two thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320