Search a number
-
+
23198240 = 2551319587
BaseRepresentation
bin101100001111…
…1101000100000
31121122121000002
41120133220200
521414320430
62145115132
7401116232
oct130375040
947577002
1023198240
11121051aa
127928aa8
134a63090
14311c252
152083845
hex161fa20

23198240 has 96 divisors (see below), whose sum is σ = 62233920. Its totient is φ = 8100864.

The previous prime is 23198233. The next prime is 23198243. The reversal of 23198240 is 4289132.

23198240 = T304 + T305 + ... + T550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23198243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39227 + ... + 39813.

It is an arithmetic number, because the mean of its divisors is an integer number (648270).

Almost surely, 223198240 is an apocalyptic number.

23198240 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 23198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31116960).

23198240 is an abundant number, since it is smaller than the sum of its proper divisors (39035680).

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

23198240 is a wasteful number, since it uses less digits than its factorization.

23198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 23198240 is about 4816.4551279961. The cubic root of 23198240 is about 285.2014170739.

The spelling of 23198240 in words is "twenty-three million, one hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 130 152 160 190 208 247 260 304 380 416 494 520 587 608 760 988 1040 1174 1235 1520 1976 2080 2348 2470 2935 3040 3952 4696 4940 5870 7631 7904 9392 9880 11153 11740 15262 18784 19760 22306 23480 30524 38155 39520 44612 46960 55765 61048 76310 89224 93920 111530 122096 144989 152620 178448 223060 244192 289978 305240 356896 446120 579956 610480 724945 892240 1159912 1220960 1449890 1784480 2319824 2899780 4639648 5799560 11599120 23198240