Search a number
-
+
23005500 = 2235372313
BaseRepresentation
bin101011111000…
…0100100111100
31121021210121120
41113300210330
521342134000
62141030540
7366354300
oct127604474
947253546
1023005500
1111a93411
127855450
1349c642b
1430abd00
1520466a0
hex15f093c

23005500 has 144 divisors (see below), whose sum is σ = 78178464. Its totient is φ = 5241600.

The previous prime is 23005429. The next prime is 23005517. The reversal of 23005500 is 550032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23005500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73344 + ... + 73656.

It is an arithmetic number, because the mean of its divisors is an integer number (542906).

Almost surely, 223005500 is an apocalyptic number.

23005500 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 23005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39089232).

23005500 is an abundant number, since it is smaller than the sum of its proper divisors (55172964).

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

23005500 is a wasteful number, since it uses less digits than its factorization.

23005500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 23005500 is about 4796.4049036753. The cubic root of 23005500 is about 284.4093646834.

Adding to 23005500 its reverse (550032), we get a palindrome (23555532).

The spelling of 23005500 in words is "twenty-three million, five thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 125 140 147 150 175 196 210 245 250 294 300 313 350 375 420 490 500 525 588 626 700 735 750 875 939 980 1050 1225 1252 1470 1500 1565 1750 1878 2100 2191 2450 2625 2940 3130 3500 3675 3756 4382 4695 4900 5250 6125 6260 6573 7350 7825 8764 9390 10500 10955 12250 13146 14700 15337 15650 18375 18780 21910 23475 24500 26292 30674 31300 32865 36750 39125 43820 46011 46950 54775 61348 65730 73500 76685 78250 92022 93900 109550 117375 131460 153370 156500 164325 184044 219100 230055 234750 273875 306740 328650 383425 460110 469500 547750 657300 766850 821625 920220 1095500 1150275 1533700 1643250 1917125 2300550 3286500 3834250 4601100 5751375 7668500 11502750 23005500