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23230440 = 23325173373
BaseRepresentation
bin101100010011…
…1011111101000
31121201020011200
41120213133220
521421333230
62145524200
7401312142
oct130473750
947636150
1023230440
1112127412
127943660
134a7492c
143129c92
15208d160
hex16277e8

23230440 has 96 divisors (see below), whose sum is σ = 76138920. Its totient is φ = 6142464.

The previous prime is 23230429. The next prime is 23230457. The reversal of 23230440 is 4403232.

It can be written as a sum of positive squares in 4 ways, for example, as 22297284 + 933156 = 4722^2 + 966^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62094 + ... + 62466.

Almost surely, 223230440 is an apocalyptic number.

23230440 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 23230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38069460).

23230440 is an abundant number, since it is smaller than the sum of its proper divisors (52908480).

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

23230440 is a wasteful number, since it uses less digits than its factorization.

23230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

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

The square root of 23230440 is about 4819.7966762095. The cubic root of 23230440 is about 285.3333127105. Note that the first 4 decimals are identical.

Adding to 23230440 its reverse (4403232), we get a palindrome (27633672).

The spelling of 23230440 in words is "twenty-three million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 173 180 346 360 373 519 692 746 865 1038 1119 1384 1492 1557 1730 1865 2076 2238 2595 2984 3114 3357 3460 3730 4152 4476 5190 5595 6228 6714 6920 7460 7785 8952 10380 11190 12456 13428 14920 15570 16785 20760 22380 26856 31140 33570 44760 62280 64529 67140 129058 134280 193587 258116 322645 387174 516232 580761 645290 774348 967935 1161522 1290580 1548696 1935870 2323044 2581160 2903805 3871740 4646088 5807610 7743480 11615220 23230440