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223453000 = 2353733061
BaseRepresentation
bin11010101000110…
…01111101001000
3120120110120220001
431110121331020
5424200444000
634101212344
75352214321
oct1524317510
9516416801
10223453000
11105151601
1262a010b4
13373a9314
1421969448
151493d46a
hexd519f48

223453000 has 64 divisors (see below), whose sum is σ = 530215920. Its totient is φ = 88128000.

The previous prime is 223452967. The next prime is 223453057. The reversal of 223453000 is 354322.

223453000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 50951044 + 172501956 = 7138^2 + 13134^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71470 + ... + 74530.

Almost surely, 2223453000 is an apocalyptic number.

223453000 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 223453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265107960).

223453000 is an abundant number, since it is smaller than the sum of its proper divisors (306762920).

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

223453000 is a wasteful number, since it uses less digits than its factorization.

223453000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 223453000 is about 14948.3443899316. The cubic root of 223453000 is about 606.8230419791.

The spelling of 223453000 in words is "two hundred twenty-three million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 730 1000 1460 1825 2920 3061 3650 6122 7300 9125 12244 14600 15305 18250 24488 30610 36500 61220 73000 76525 122440 153050 223453 306100 382625 446906 612200 765250 893812 1117265 1530500 1787624 2234530 3061000 4469060 5586325 8938120 11172650 22345300 27931625 44690600 55863250 111726500 223453000