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22272 = 28329
BaseRepresentation
bin101011100000000
31010112220
411130000
51203042
6251040
7121635
oct53400
933486
1022272
1115808
1210a80
13a1a3
14818c
1568ec
hex5700

22272 has 36 divisors (see below), whose sum is σ = 61320. Its totient is φ = 7168.

The previous prime is 22271. The next prime is 22273. The reversal of 22272 is 27222.

Adding to 22272 its reverse (27222), we get a palindrome (49494).

Subtracting 22272 from its reverse (27222), we obtain a triangular number (4950 = T99).

It is an interprime number because it is at equal distance from previous prime (22271) and next prime (22273).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22272.

It is not an unprimeable number, because it can be changed into a prime (22271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 754 + ... + 782.

222272 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 22272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30660).

22272 is an abundant number, since it is smaller than the sum of its proper divisors (39048).

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

22272 is an equidigital number, since it uses as much as digits as its factorization.

22272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 34 counting only the distinct ones).

The product of its digits is 112, while the sum is 15.

The square root of 22272 is about 149.2380648494. The cubic root of 22272 is about 28.1353986240.

The spelling of 22272 in words is "twenty-two thousand, two hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5568 7424 11136 22272