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22506 = 2311231
BaseRepresentation
bin101011111101010
31010212120
411133222
51210011
6252110
7122421
oct53752
933776
1022506
1115a00
1211036
13a323
1482b8
156a06
hex57ea

22506 has 24 divisors (see below), whose sum is σ = 51072. Its totient is φ = 6600.

The previous prime is 22501. The next prime is 22511. The reversal of 22506 is 60522.

Added to its reverse (60522) it gives a triangular number (83028 = T407).

It is an interprime number because it is at equal distance from previous prime (22501) and next prime (22511).

It is a Curzon number.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (22501) by changing a digit.

22506 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 11 ways as a sum of consecutive naturals, for example, 711 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (2128).

222506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25536).

22506 is an abundant number, since it is smaller than the sum of its proper divisors (28566).

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

22506 is a wasteful number, since it uses less digits than its factorization.

22506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22506 is about 150.0199986668. The cubic root of 22506 is about 28.2335900728.

Adding to 22506 its reverse (60522), we get a triangular number (83028 = T407).

It can be divided in two parts, 22 and 506, that added together give a triangular number (528 = T32).

The spelling of 22506 in words is "twenty-two thousand, five hundred six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 3751 7502 11253 22506