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223213300 = 22522232133
BaseRepresentation
bin11010100110111…
…11011011110100
3120120000102002021
431103133123310
5424120311200
634052122524
75350165432
oct1523373364
9516012067
10223213300
11104aa8502
1262906444
133732419b
1421905d52
15148e241a
hexd4df6f4

223213300 has 18 divisors (see below), whose sum is σ = 484373078. Its totient is φ = 89285280.

The previous prime is 223213283. The next prime is 223213303. The reversal of 223213300 is 3312322.

It can be written as a sum of positive squares in 3 ways, for example, as 17405584 + 205807716 = 4172^2 + 14346^2 .

It is a super-3 number, since 3×2232133003 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223213303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1115967 + ... + 1116166.

Almost surely, 2223213300 is an apocalyptic number.

223213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223213300 is an abundant number, since it is smaller than the sum of its proper divisors (261159778).

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

223213300 is a wasteful number, since it uses less digits than its factorization.

223213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232147 (or 2232140 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 223213300 is about 14940.3246283339. The cubic root of 223213300 is about 606.6059828740.

Adding to 223213300 its reverse (3312322), we get a palindrome (226525622).

The spelling of 223213300 in words is "two hundred twenty-three million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2232133 4464266 8928532 11160665 22321330 44642660 55803325 111606650 223213300