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223032040 = 235711229227
BaseRepresentation
bin11010100101100…
…11001011101000
3120112200012102221
431102303023220
5424044011130
634044203424
75345512120
oct1522631350
9515605387
10223032040
11104994300
1262839574
133728c82a
1421899c80
15148a887a
hexd4b32e8

223032040 has 192 divisors, whose sum is σ = 654998400. Its totient is φ = 66823680.

The previous prime is 223032023. The next prime is 223032059. The reversal of 223032040 is 40230322.

223032040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982407 + ... + 982633.

It is an arithmetic number, because the mean of its divisors is an integer number (3411450).

Almost surely, 2223032040 is an apocalyptic number.

223032040 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 223032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327499200).

223032040 is an abundant number, since it is smaller than the sum of its proper divisors (431966360).

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

223032040 is a wasteful number, since it uses less digits than its factorization.

223032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 223032040 is about 14934.2572630848. The cubic root of 223032040 is about 606.4417406053.

Adding to 223032040 its reverse (40230322), we get a palindrome (263262362).

The spelling of 223032040 in words is "two hundred twenty-three million, thirty-two thousand, forty".