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223293 = 37431
BaseRepresentation
bin110110100000111101
3102100022010
4312200331
524121133
64441433
71620000
oct664075
9370263
10223293
11142844
12a9279
137a835
145b537
1546263
hex3683d

223293 has 20 divisors (see below), whose sum is σ = 358528. Its totient is φ = 123480.

The previous prime is 223291. The next prime is 223303. The reversal of 223293 is 392322.

It is not a de Polignac number, because 223293 - 21 = 223291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 28 + 214 + 214 + 38 + 94 + 311 .

It is a Duffinian number.

223293 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223291) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7188 + ... + 7218.

2223293 is an apocalyptic number.

It is an amenable number.

223293 is a deficient number, since it is larger than the sum of its proper divisors (135235).

223293 is an frugal number, since it uses more digits than its factorization.

223293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 223293 is about 472.5388872887. The cubic root of 223293 is about 60.6678172037.

The spelling of 223293 in words is "two hundred twenty-three thousand, two hundred ninety-three".

Divisors: 1 3 7 21 31 49 93 147 217 343 651 1029 1519 2401 4557 7203 10633 31899 74431 223293