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23232440 = 23571119397
BaseRepresentation
bin101100010011…
…1111110111000
31121201022220202
41120213332320
521421414230
62145541332
7401321030
oct130477670
947638822
1023232440
1112128970
127944848
134a7580a
14312a8c0
15208da45
hex1627fb8

23232440 has 128 divisors (see below), whose sum is σ = 68774400. Its totient is φ = 6842880.

The previous prime is 23232439. The next prime is 23232449. The reversal of 23232440 is 4423232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23232449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58322 + ... + 58718.

It is an arithmetic number, because the mean of its divisors is an integer number (537300).

Almost surely, 223232440 is an apocalyptic number.

23232440 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 23232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34387200).

23232440 is an abundant number, since it is smaller than the sum of its proper divisors (45541960).

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

23232440 is a wasteful number, since it uses less digits than its factorization.

23232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

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

The square root of 23232440 is about 4820.0041493758. The cubic root of 23232440 is about 285.3415009648.

Adding to 23232440 its reverse (4423232), we get a palindrome (27655672).

The spelling of 23232440 in words is "twenty-three million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 397 418 440 532 616 665 760 770 794 836 1045 1064 1330 1463 1540 1588 1672 1985 2090 2660 2779 2926 3080 3176 3970 4180 4367 5320 5558 5852 7315 7543 7940 8360 8734 11116 11704 13895 14630 15086 15880 17468 21835 22232 27790 29260 30172 30569 34936 37715 43670 52801 55580 58520 60344 61138 75430 82973 87340 105602 111160 122276 150860 152845 165946 174680 211204 244552 264005 301720 305690 331892 414865 422408 528010 580811 611380 663784 829730 1056020 1161622 1222760 1659460 2112040 2323244 2904055 3318920 4646488 5808110 11616220 23232440