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22704 = 2431143
BaseRepresentation
bin101100010110000
31011010220
411202300
51211304
6253040
7123123
oct54260
934126
1022704
1116070
1211180
13a446
1483ba
156ad9
hex58b0

22704 has 40 divisors (see below), whose sum is σ = 65472. Its totient is φ = 6720.

The previous prime is 22699. The next prime is 22709. The reversal of 22704 is 40722.

It is an interprime number because it is at equal distance from previous prime (22699) and next prime (22709).

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 22704.

It is not an unprimeable number, because it can be changed into a prime (22709) by changing a digit.

22704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507 + ... + 549.

222704 is an apocalyptic number.

22704 is a gapful number since it is divisible by the number (24) 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 22704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32736).

22704 is an abundant number, since it is smaller than the sum of its proper divisors (42768).

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

22704 is a wasteful number, since it uses less digits than its factorization.

22704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

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

The square root of 22704 is about 150.6784656147. The cubic root of 22704 is about 28.3161448996.

The spelling of 22704 in words is "twenty-two thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704