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22488 = 233937
BaseRepresentation
bin101011111011000
31010211220
411133120
51204423
6252040
7122364
oct53730
933756
1022488
1115994
1211020
13a30b
1482a4
1569e3
hex57d8

22488 has 16 divisors (see below), whose sum is σ = 56280. Its totient is φ = 7488.

The previous prime is 22483. The next prime is 22501. The reversal of 22488 is 88422.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 937 = 22488 / (2 + 2 + 4 + 8 + 8).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 445 + ... + 492.

222488 is an apocalyptic number.

It is an amenable number.

22488 is an abundant number, since it is smaller than the sum of its proper divisors (33792).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28140).

22488 is a wasteful number, since it uses less digits than its factorization.

22488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 942 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 22488 is about 149.9599946652. The cubic root of 22488 is about 28.2260611151.

The spelling of 22488 in words is "twenty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 937 1874 2811 3748 5622 7496 11244 22488