Search a number
-
+
13223000 = 235371889
BaseRepresentation
bin110010011100…
…010001011000
3220212210112202
4302130101120
511341114000
61151225332
7220252010
oct62342130
926783482
1013223000
1175116aa
124518248
13297c87b
141a82c40
151262dd5
hexc9c458

13223000 has 64 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 4531200.

The previous prime is 13222981. The next prime is 13223003. The reversal of 13223000 is 32231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223003) 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, 6056 + ... + 7944.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 213223000 is an apocalyptic number.

13223000 is a gapful number since it is divisible by the number (10) 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 13223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

13223000 is an abundant number, since it is smaller than the sum of its proper divisors (22157800).

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

13223000 is a wasteful number, since it uses less digits than its factorization.

13223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 13223000 is about 3636.3443181305. The cubic root of 13223000 is about 236.4703346498.

Adding to 13223000 its reverse (32231), we get a palindrome (13255231).

It can be divided in two parts, 132 and 23000, that added together give a palindrome (23132).

The spelling of 13223000 in words is "thirteen million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 1889 3500 3778 7000 7556 9445 13223 15112 18890 26446 37780 47225 52892 66115 75560 94450 105784 132230 188900 236125 264460 330575 377800 472250 528920 661150 944500 1322300 1652875 1889000 2644600 3305750 6611500 13223000