Search a number
-
+
223424300 = 225211238831
BaseRepresentation
bin11010101000100…
…10111100101100
3120120102010112002
431110102330230
5424144034200
634100431432
75352034541
oct1524227454
9516363462
10223424300
11105131a90
12629a8578
1337399238
142195cbc8
1514934bd5
hexd512f2c

223424300 has 72 divisors (see below), whose sum is σ = 551964672. Its totient is φ = 77704000.

The previous prime is 223424269. The next prime is 223424303. The reversal of 223424300 is 3424322.

223424300 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 (20).

It is not an unprimeable number, because it can be changed into a prime (223424303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20885 + ... + 29715.

It is an arithmetic number, because the mean of its divisors is an integer number (7666176).

Almost surely, 2223424300 is an apocalyptic number.

223424300 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 223424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275982336).

223424300 is an abundant number, since it is smaller than the sum of its proper divisors (328540372).

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

223424300 is a wasteful number, since it uses less digits than its factorization.

223424300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8879 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 223424300 is about 14947.3843865741. The cubic root of 223424300 is about 606.7970610242.

Adding to 223424300 its reverse (3424322), we get a palindrome (226848622).

The spelling of 223424300 in words is "two hundred twenty-three million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 8831 12650 17662 25300 35324 44155 88310 97141 176620 194282 203113 220775 388564 406226 441550 485705 812452 883100 971410 1015565 1942820 2031130 2234243 2428525 4062260 4468486 4857050 5077825 8936972 9714100 10155650 11171215 20311300 22342430 44684860 55856075 111712150 223424300