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224310020 = 225117313967
BaseRepresentation
bin11010101111010…
…11001100000100
3120122002010111112
431113223030010
5424410410040
634131424152
75362414034
oct1527531404
9518063445
10224310020
11105687490
1263155058
133761942c
1421b0d8c4
1514a5c365
hexd5eb304

224310020 has 48 divisors (see below), whose sum is σ = 520950528. Its totient is φ = 80444160.

The previous prime is 224310011. The next prime is 224310043. The reversal of 224310020 is 20013422.

224310020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 224309977 and 224310004.

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, 9077 + ... + 23043.

It is an arithmetic number, because the mean of its divisors is an integer number (10853136).

Almost surely, 2224310020 is an apocalyptic number.

224310020 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 224310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260475264).

224310020 is an abundant number, since it is smaller than the sum of its proper divisors (296640508).

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

224310020 is a wasteful number, since it uses less digits than its factorization.

224310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14060 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 224310020 is about 14976.9830072682. The cubic root of 224310020 is about 607.5978447740.

Adding to 224310020 its reverse (20013422), we get a palindrome (244323442).

The spelling of 224310020 in words is "two hundred twenty-four million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 13967 16060 27934 55868 69835 139670 153637 279340 307274 614548 768185 1019591 1536370 2039182 3072740 4078364 5097955 10195910 11215501 20391820 22431002 44862004 56077505 112155010 224310020