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23220 = 2233543
BaseRepresentation
bin101101010110100
31011212000
411222310
51220340
6255300
7124461
oct55264
934760
1023220
111649a
1211530
13a752
148668
156d30
hex5ab4

23220 has 48 divisors (see below), whose sum is σ = 73920. Its totient is φ = 6048.

The previous prime is 23209. The next prime is 23227. The reversal of 23220 is 2232.

23220 is nontrivially palindromic in base 14.

23220 is a nontrivial binomial coefficient, being equal to C(216, 2).

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

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23227) 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, 519 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (1540).

223220 is an apocalyptic number.

23220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23220 is the 215-th triangular number and also the 108-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36960).

23220 is an abundant number, since it is smaller than the sum of its proper divisors (50700).

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

23220 is a wasteful number, since it uses less digits than its factorization.

23220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 53 counting only the distinct ones).

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

The square root of 23220 is about 152.3811011904. The cubic root of 23220 is about 28.5290562392.

Adding to 23220 its reverse (2232), we get a palindrome (25452).

It can be divided in two parts, 232 and 20, that added together give a palindrome (252).

The spelling of 23220 in words is "twenty-three thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 7740 11610 23220