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223960 = 23511509
BaseRepresentation
bin110110101011011000
3102101012211
4312223120
524131320
64444504
71621642
oct665330
9371184
10223960
111432a0
12a9734
137ac29
145b892
154655a
hex36ad8

223960 has 32 divisors (see below), whose sum is σ = 550800. Its totient is φ = 81280.

The previous prime is 223939. The next prime is 223963. The reversal of 223960 is 69322.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 (223963) by changing a digit.

223960 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, 186 + ... + 694.

2223960 is an apocalyptic number.

223960 is a gapful number since it is divisible by the number (20) 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 223960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275400).

223960 is an abundant number, since it is smaller than the sum of its proper divisors (326840).

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

223960 is a wasteful number, since it uses less digits than its factorization.

223960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 223960 is about 473.2441230486. The cubic root of 223960 is about 60.7281642354.

The spelling of 223960 in words is "two hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 509 1018 2036 2545 4072 5090 5599 10180 11198 20360 22396 27995 44792 55990 111980 223960