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223428400 = 24521342967
BaseRepresentation
bin11010101000100…
…11111100110000
3120120102100010221
431110103330300
5424144202100
634100502424
75352052516
oct1524237460
9516370127
10223428400
11105135078
12629aaa14
133739b070
14219604b6
151493601a
hexd513f30

223428400 has 60 divisors (see below), whose sum is σ = 578091472. Its totient is φ = 82494720.

The previous prime is 223428397. The next prime is 223428407. The reversal of 223428400 is 4824322.

223428400 is digitally balanced in base 2, 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 (25).

It is not an unprimeable number, because it can be changed into a prime (223428407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16284 + ... + 26683.

Almost surely, 2223428400 is an apocalyptic number.

223428400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223428400 is an abundant number, since it is smaller than the sum of its proper divisors (354663072).

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

223428400 is a wasteful number, since it uses less digits than its factorization.

223428400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42998 (or 42987 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 223428400 is about 14947.5215336858. The cubic root of 223428400 is about 606.8007727254.

The spelling of 223428400 in words is "two hundred twenty-three million, four hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 42967 85934 171868 214835 343736 429670 558571 687472 859340 1074175 1117142 1718680 2148350 2234284 2792855 3437360 4296700 4468568 5585710 8593400 8937136 11171420 13964275 17186800 22342840 27928550 44685680 55857100 111714200 223428400