Search a number
-
+
223144400 = 2452557861
BaseRepresentation
bin11010100110011…
…10100111010000
3120112212220120102
431103032213100
5424111110100
634050431532
75346460523
oct1523164720
9515786512
10223144400
11104a60766
12628925a8
13372cba0b
14218c8bba
15148cbcd5
hexd4ce9d0

223144400 has 30 divisors (see below), whose sum is σ = 536105382. Its totient is φ = 89257600.

The previous prime is 223144387. The next prime is 223144433. The reversal of 223144400 is 4441322.

223144400 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 3 ways, for example, as 179776 + 222964624 = 424^2 + 14932^2 .

It is a super-3 number, since 3×2231444003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278531 + ... + 279330.

Almost surely, 2223144400 is an apocalyptic number.

223144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223144400 is an abundant number, since it is smaller than the sum of its proper divisors (312960982).

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

223144400 is a wasteful number, since it uses less digits than its factorization.

223144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557879 (or 557868 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 223144400 is about 14938.0186102441. The cubic root of 223144400 is about 606.5435620814.

Adding to 223144400 its reverse (4441322), we get a palindrome (227585722).

The spelling of 223144400 in words is "two hundred twenty-three million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 557861 1115722 2231444 2789305 4462888 5578610 8925776 11157220 13946525 22314440 27893050 44628880 55786100 111572200 223144400