Search a number
-
+
223431400 = 23522694153
BaseRepresentation
bin11010101000101…
…00101011101000
3120120102111021001
431110110223220
5424144301100
634100524344
75352064333
oct1524245350
9516374231
10223431400
11105137355
12629b06b4
133739c53a
142196161a
1514936d6a
hexd514ae8

223431400 has 48 divisors (see below), whose sum is σ = 521534700. Its totient is φ = 89018880.

The previous prime is 223431379. The next prime is 223431409. The reversal of 223431400 is 4134322.

It can be written as a sum of positive squares in 6 ways, for example, as 407044 + 223024356 = 638^2 + 14934^2 .

It is not an unprimeable number, because it can be changed into a prime (223431409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51724 + ... + 55876.

Almost surely, 2223431400 is an apocalyptic number.

223431400 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 223431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260767350).

223431400 is an abundant number, since it is smaller than the sum of its proper divisors (298103300).

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

223431400 is a wasteful number, since it uses less digits than its factorization.

223431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 223431400 is about 14947.6218844337. The cubic root of 223431400 is about 606.8034885755.

Adding to 223431400 its reverse (4134322), we get a palindrome (227565722).

The spelling of 223431400 in words is "two hundred twenty-three million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 4153 5380 6725 8306 10760 13450 16612 20765 26900 33224 41530 53800 83060 103825 166120 207650 415300 830600 1117157 2234314 4468628 5585785 8937256 11171570 22343140 27928925 44686280 55857850 111715700 223431400