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23230224 = 2432353457
BaseRepresentation
bin101100010011…
…1011100010000
31121201012212200
41120213130100
521421331344
62145523200
7401311413
oct130473420
947635780
1023230224
1112127236
127943500
134a747c4
143129b7a
15208d069
hex1627710

23230224 has 60 divisors (see below), whose sum is σ = 65339196. Its totient is φ = 7704576.

The previous prime is 23230219. The next prime is 23230237. The reversal of 23230224 is 42203232.

It can be written as a sum of positive squares in 2 ways, for example, as 15210000 + 8020224 = 3900^2 + 2832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23230197 and 23230206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50604 + ... + 51060.

Almost surely, 223230224 is an apocalyptic number.

23230224 is a gapful number since it is divisible by the number (24) 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 23230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32669598).

23230224 is an abundant number, since it is smaller than the sum of its proper divisors (42108972).

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

23230224 is a wasteful number, since it uses less digits than its factorization.

23230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 23230224 is about 4819.7742685732. The cubic root of 23230224 is about 285.3324283509.

Adding to 23230224 its reverse (42203232), we get a palindrome (65433456).

The spelling of 23230224 in words is "twenty-three million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 353 457 706 914 1059 1371 1412 1828 2118 2742 2824 3177 3656 4113 4236 5484 5648 6354 7312 8226 8472 10968 12708 16452 16944 21936 25416 32904 50832 65808 161321 322642 483963 645284 967926 1290568 1451889 1935852 2581136 2903778 3871704 5807556 7743408 11615112 23230224