Search a number
-
+
223496 = 23713307
BaseRepresentation
bin110110100100001000
3102100120122
4312210020
524122441
64442412
71620410
oct664410
9370518
10223496
11142a09
12a9408
137a960
145b640
154634b
hex36908

223496 has 32 divisors (see below), whose sum is σ = 517440. Its totient is φ = 88128.

The previous prime is 223493. The next prime is 223507. The reversal of 223496 is 694322.

223496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (16170).

2223496 is an apocalyptic number.

223496 is a gapful number since it is divisible by the number (26) 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 223496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258720).

223496 is an abundant number, since it is smaller than the sum of its proper divisors (293944).

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

223496 is a wasteful number, since it uses less digits than its factorization.

223496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 223496 is about 472.7536356285. The cubic root of 223496 is about 60.6861963985.

The spelling of 223496 in words is "two hundred twenty-three thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 307 364 614 728 1228 2149 2456 3991 4298 7982 8596 15964 17192 27937 31928 55874 111748 223496